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Finding the Fourth Proportional to 337.72, 506.78 and 132.31

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Solution

The fourth proportional to 337.72, 506.78 and 132.31 is: 198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.72 : 506.78 = 132.31 : x
  2. Step 2: Convert to fraction form
    337.72/506.78 = 132.31/x
  3. Step 3: Cross multiply
    337.72x = 506.78 × 132.31
  4. Step 4: Simplify right side
    337.72x = 67,052.06
  5. Step 5: Solve for x
    x = 67,052.06/337.72
  6. Step 6: Final answer
    x = 198.54

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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.