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Finding the Fourth Proportional to 337.87, 506.76 and 106.75

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Solution

The fourth proportional to 337.87, 506.76 and 106.75 is: 160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.87 : 506.76 = 106.75 : x
  2. Step 2: Convert to fraction form
    337.87/506.76 = 106.75/x
  3. Step 3: Cross multiply
    337.87x = 506.76 × 106.75
  4. Step 4: Simplify right side
    337.87x = 54,096.63
  5. Step 5: Solve for x
    x = 54,096.63/337.87
  6. Step 6: Final answer
    x = 160.11

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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.