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Finding the Fourth Proportional to 457.61, 686.19 and 149.29

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Solution

The fourth proportional to 457.61, 686.19 and 149.29 is: 223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.61 : 686.19 = 149.29 : x
  2. Step 2: Convert to fraction form
    457.61/686.19 = 149.29/x
  3. Step 3: Cross multiply
    457.61x = 686.19 × 149.29
  4. Step 4: Simplify right side
    457.61x = 102,441.31
  5. Step 5: Solve for x
    x = 102,441.31/457.61
  6. Step 6: Final answer
    x = 223.86

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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.