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Finding the Fourth Proportional to 457.35, 686.14 and 149.24

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Solution

The fourth proportional to 457.35, 686.14 and 149.24 is: 223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.35 : 686.14 = 149.24 : x
  2. Step 2: Convert to fraction form
    457.35/686.14 = 149.24/x
  3. Step 3: Cross multiply
    457.35x = 686.14 × 149.24
  4. Step 4: Simplify right side
    457.35x = 102,400.88
  5. Step 5: Solve for x
    x = 102,400.88/457.35
  6. Step 6: Final answer
    x = 223.90

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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.