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Finding the Fourth Proportional to 337.71, 506.36 and 132.11

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Solution

The fourth proportional to 337.71, 506.36 and 132.11 is: 198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.71 : 506.36 = 132.11 : x
  2. Step 2: Convert to fraction form
    337.71/506.36 = 132.11/x
  3. Step 3: Cross multiply
    337.71x = 506.36 × 132.11
  4. Step 4: Simplify right side
    337.71x = 66,893.02
  5. Step 5: Solve for x
    x = 66,893.02/337.71
  6. Step 6: Final answer
    x = 198.08

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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.