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Finding the Fourth Proportional to 457.40, 686.06 and 149.16

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Solution

The fourth proportional to 457.40, 686.06 and 149.16 is: 223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 686.06 = 149.16 : x
  2. Step 2: Convert to fraction form
    457.40/686.06 = 149.16/x
  3. Step 3: Cross multiply
    457.40x = 686.06 × 149.16
  4. Step 4: Simplify right side
    457.40x = 102,332.71
  5. Step 5: Solve for x
    x = 102,332.71/457.40
  6. Step 6: Final answer
    x = 223.73

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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.