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Finding the Fourth Proportional to 457.82, 686.70 and 149.66

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Solution

The fourth proportional to 457.82, 686.70 and 149.66 is: 224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.82 : 686.70 = 149.66 : x
  2. Step 2: Convert to fraction form
    457.82/686.70 = 149.66/x
  3. Step 3: Cross multiply
    457.82x = 686.70 × 149.66
  4. Step 4: Simplify right side
    457.82x = 102,768.09
  5. Step 5: Solve for x
    x = 102,768.09/457.82
  6. Step 6: Final answer
    x = 224.48

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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.