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Finding the Fourth Proportional to 337.46, 506.19 and 106.35

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Solution

The fourth proportional to 337.46, 506.19 and 106.35 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.46 : 506.19 = 106.35 : x
  2. Step 2: Convert to fraction form
    337.46/506.19 = 106.35/x
  3. Step 3: Cross multiply
    337.46x = 506.19 × 106.35
  4. Step 4: Simplify right side
    337.46x = 53,833.31
  5. Step 5: Solve for x
    x = 53,833.31/337.46
  6. Step 6: Final answer
    x = 159.53

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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.