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Finding the Fourth Proportional to 337.73, 506.67 and 129.53

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Solution

The fourth proportional to 337.73, 506.67 and 129.53 is: 194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.73 : 506.67 = 129.53 : x
  2. Step 2: Convert to fraction form
    337.73/506.67 = 129.53/x
  3. Step 3: Cross multiply
    337.73x = 506.67 × 129.53
  4. Step 4: Simplify right side
    337.73x = 65,628.97
  5. Step 5: Solve for x
    x = 65,628.97/337.73
  6. Step 6: Final answer
    x = 194.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.