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Finding the Fourth Proportional to 457.74, 686.68 and 165.20

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Solution

The fourth proportional to 457.74, 686.68 and 165.20 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.74 : 686.68 = 165.20 : x
  2. Step 2: Convert to fraction form
    457.74/686.68 = 165.20/x
  3. Step 3: Cross multiply
    457.74x = 686.68 × 165.20
  4. Step 4: Simplify right side
    457.74x = 113,435.69
  5. Step 5: Solve for x
    x = 113,435.69/457.74
  6. Step 6: Final answer
    x = 247.82

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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.