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Finding the Fourth Proportional to 337.80, 506.70 and 132.28

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Solution

The fourth proportional to 337.80, 506.70 and 132.28 is: 198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.80 : 506.70 = 132.28 : x
  2. Step 2: Convert to fraction form
    337.80/506.70 = 132.28/x
  3. Step 3: Cross multiply
    337.80x = 506.70 × 132.28
  4. Step 4: Simplify right side
    337.80x = 67,026.28
  5. Step 5: Solve for x
    x = 67,026.28/337.80
  6. Step 6: Final answer
    x = 198.42

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