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Finding the Fourth Proportional to 457.64, 686.30 and 149.42

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Solution

The fourth proportional to 457.64, 686.30 and 149.42 is: 224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.64 : 686.30 = 149.42 : x
  2. Step 2: Convert to fraction form
    457.64/686.30 = 149.42/x
  3. Step 3: Cross multiply
    457.64x = 686.30 × 149.42
  4. Step 4: Simplify right side
    457.64x = 102,546.95
  5. Step 5: Solve for x
    x = 102,546.95/457.64
  6. Step 6: Final answer
    x = 224.08

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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.