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Finding the Fourth Proportional to 337.69, 506.17 and 142.64

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Solution

The fourth proportional to 337.69, 506.17 and 142.64 is: 213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.69 : 506.17 = 142.64 : x
  2. Step 2: Convert to fraction form
    337.69/506.17 = 142.64/x
  3. Step 3: Cross multiply
    337.69x = 506.17 × 142.64
  4. Step 4: Simplify right side
    337.69x = 72,201.00
  5. Step 5: Solve for x
    x = 72,201.00/337.69
  6. Step 6: Final answer
    x = 213.81

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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.