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Finding the Fourth Proportional to 337.49, 506.14 and 142.49

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Solution

The fourth proportional to 337.49, 506.14 and 142.49 is: 213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.49 : 506.14 = 142.49 : x
  2. Step 2: Convert to fraction form
    337.49/506.14 = 142.49/x
  3. Step 3: Cross multiply
    337.49x = 506.14 × 142.49
  4. Step 4: Simplify right side
    337.49x = 72,119.89
  5. Step 5: Solve for x
    x = 72,119.89/337.49
  6. Step 6: Final answer
    x = 213.69

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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.