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Finding the Fourth Proportional to 457.87, 686.86 and 149.76

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Solution

The fourth proportional to 457.87, 686.86 and 149.76 is: 224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.87 : 686.86 = 149.76 : x
  2. Step 2: Convert to fraction form
    457.87/686.86 = 149.76/x
  3. Step 3: Cross multiply
    457.87x = 686.86 × 149.76
  4. Step 4: Simplify right side
    457.87x = 102,864.15
  5. Step 5: Solve for x
    x = 102,864.15/457.87
  6. Step 6: Final answer
    x = 224.66

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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.