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Finding the Fourth Proportional to 337.86, 506.16 and 229.77

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Solution

The fourth proportional to 337.86, 506.16 and 229.77 is: 344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.86 : 506.16 = 229.77 : x
  2. Step 2: Convert to fraction form
    337.86/506.16 = 229.77/x
  3. Step 3: Cross multiply
    337.86x = 506.16 × 229.77
  4. Step 4: Simplify right side
    337.86x = 116,300.38
  5. Step 5: Solve for x
    x = 116,300.38/337.86
  6. Step 6: Final answer
    x = 344.23

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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.