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Finding the Fourth Proportional to 457.38, 686.00 and 149.24

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Solution

The fourth proportional to 457.38, 686.00 and 149.24 is: 223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.38 : 686.00 = 149.24 : x
  2. Step 2: Convert to fraction form
    457.38/686.00 = 149.24/x
  3. Step 3: Cross multiply
    457.38x = 686.00 × 149.24
  4. Step 4: Simplify right side
    457.38x = 102,380.73
  5. Step 5: Solve for x
    x = 102,380.73/457.38
  6. Step 6: Final answer
    x = 223.84

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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.