{"id":133990,"date":"2024-08-26T10:40:20","date_gmt":"2024-08-26T10:40:20","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=133990"},"modified":"2024-08-26T10:40:22","modified_gmt":"2024-08-26T10:40:22","slug":"ratio-and-proportion-2002-20-x-enter-numeric-value-only-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/08\/26\/ratio-and-proportion-2002-20-x-enter-numeric-value-only-2\/","title":{"rendered":"Ratio and Proportion: 200:2 = 20: X (Enter numeric value only.)"},"content":{"rendered":"\n<p>Ratio and Proportion: 200:2 = 20: X (Enter numeric value only.)<\/p>\n\n\n\n<p>A.<br>0.2<\/p>\n\n\n\n<p>B.<br>2<\/p>\n\n\n\n<p>C.<br>0.1<\/p>\n\n\n\n<p>D.<br>3<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve the ratio and proportion problem 2002=20X\\frac{200}{2} = \\frac{20}{X}2200\u200b=X20\u200b, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Set Up the Proportion:<\/strong> We start with the given proportion:2002=20X\\frac{200}{2} = \\frac{20}{X}2200\u200b=X20\u200bThis proportion states that the ratio of 200 to 2 is equal to the ratio of 20 to XXX.<\/li>\n\n\n\n<li><strong>Simplify the Known Ratio:<\/strong> First, simplify the left side of the proportion:2002=100\\frac{200}{2} = 1002200\u200b=100So, our proportion now looks like:100=20X100 = \\frac{20}{X}100=X20\u200b<\/li>\n\n\n\n<li><strong>Solve for XXX:<\/strong> To find XXX, cross-multiply and solve the resulting equation. Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio:100\u00d7X=20\u00d71100 \\times X = 20 \\times 1100\u00d7X=20\u00d71Simplify this to:100X=20100X = 20100X=20Next, solve for XXX by dividing both sides by 100:X=20100=0.2X = \\frac{20}{100} = 0.2X=10020\u200b=0.2<\/li>\n\n\n\n<li><strong>Verify the Answer:<\/strong> To ensure accuracy, substitute X=0.2X = 0.2X=0.2 back into the original proportion:2002=200.2\\frac{200}{2} = \\frac{20}{0.2}2200\u200b=0.220\u200bSimplify 200.2\\frac{20}{0.2}0.220\u200b:200.2=100\\frac{20}{0.2} = 1000.220\u200b=100Since both sides are equal, our solution is confirmed.<\/li>\n<\/ol>\n\n\n\n<p>Thus, the correct answer is 0.2\\boxed{0.2}0.2\u200b, which corresponds to option <strong>A<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ratio and Proportion: 200:2 = 20: X (Enter numeric value only.) A.0.2 B.2 C.0.1 D.3 The Correct answer and Explanation is: To solve the ratio and proportion problem 2002=20X\\frac{200}{2} = \\frac{20}{X}2200\u200b=X20\u200b, follow these steps: Thus, the correct answer is 0.2\\boxed{0.2}0.2\u200b, which corresponds to option A.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-133990","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133990","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=133990"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133990\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=133990"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=133990"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=133990"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}