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Finding the Fourth Proportional to 457.74, 686.70 and 165.25

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Solution

The fourth proportional to 457.74, 686.70 and 165.25 is: 247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.74 : 686.70 = 165.25 : x
  2. Step 2: Convert to fraction form
    457.74/686.70 = 165.25/x
  3. Step 3: Cross multiply
    457.74x = 686.70 × 165.25
  4. Step 4: Simplify right side
    457.74x = 113,477.18
  5. Step 5: Solve for x
    x = 113,477.18/457.74
  6. Step 6: Final answer
    x = 247.91

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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.