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Finding the Fourth Proportional to 337.49, 506.24 and 106.39

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Solution

The fourth proportional to 337.49, 506.24 and 106.39 is: 159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.49 : 506.24 = 106.39 : x
  2. Step 2: Convert to fraction form
    337.49/506.24 = 106.39/x
  3. Step 3: Cross multiply
    337.49x = 506.24 × 106.39
  4. Step 4: Simplify right side
    337.49x = 53,859.37
  5. Step 5: Solve for x
    x = 53,859.37/337.49
  6. Step 6: Final answer
    x = 159.59

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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.