Ratio and Proportion: 240: X:: 80: 0.8 (Enter numeric value only.)

Ratio and Proportion: 240: X:: 80: 0.8 (Enter numeric value only.)

To solve the ratio and proportion problem 240X=800.8\frac{240}{X} = \frac{80}{0.8}X240​=0.880​, follow these steps:

  1. Set up the proportion:240X=800.8\frac{240}{X} = \frac{80}{0.8}X240​=0.880​
  2. Cross-multiply to solve for XXX:240×0.8=80×X240 \times 0.8 = 80 \times X240×0.8=80×X
  3. Calculate 240×0.8240 \times 0.8240×0.8:240×0.8=192240 \times 0.8 = 192240×0.8=192
  4. Set up the equation:192=80×X192 = 80 \times X192=80×X
  5. Solve for XXX:X=19280X = \frac{192}{80}X=80192​
  6. Simplify the fraction:19280=2.4\frac{192}{80} = 2.480192​=2.4

Therefore, the value of XXX is 2.42.42.4.

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