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Finding the Fourth Proportional to 207.31, 286.13 and 119.97

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Solution

The fourth proportional to 207.31, 286.13 and 119.97 is: 165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.31 : 286.13 = 119.97 : x
  2. Step 2: Convert to fraction form
    207.31/286.13 = 119.97/x
  3. Step 3: Cross multiply
    207.31x = 286.13 × 119.97
  4. Step 4: Simplify right side
    207.31x = 34,327.02
  5. Step 5: Solve for x
    x = 34,327.02/207.31
  6. Step 6: Final answer
    x = 165.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.