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Finding the Fourth Proportional to 337.69, 506.42 and 132.20

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Solution

The fourth proportional to 337.69, 506.42 and 132.20 is: 198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.69 : 506.42 = 132.20 : x
  2. Step 2: Convert to fraction form
    337.69/506.42 = 132.20/x
  3. Step 3: Cross multiply
    337.69x = 506.42 × 132.20
  4. Step 4: Simplify right side
    337.69x = 66,948.06
  5. Step 5: Solve for x
    x = 66,948.06/337.69
  6. Step 6: Final answer
    x = 198.26

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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.