Ratio and Proportion: 200:2 = 20: X (Enter numeric value only.)

Ratio and Proportion: 200:2 = 20: X (Enter numeric value only.)

A.
0.2

B.
2

C.
0.1

D.
3

To solve the proportion 2002=20X\frac{200}{2} = \frac{20}{X}2200​=X20​, you can set up the equation and solve for XXX:

  1. Write the proportion as an equation:2002=20X\frac{200}{2} = \frac{20}{X}2200​=X20​
  2. Simplify the left side:2002=100\frac{200}{2} = 1002200​=100So the equation becomes:100=20X100 = \frac{20}{X}100=X20​
  3. Solve for XXX by cross-multiplying:100⋅X=20100 \cdot X = 20100⋅X=20 X=20100=0.2X = \frac{20}{100} = 0.2X=10020​=0.2

So the value of XXX is:

A. 0.2

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