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Finding the Fourth Proportional to 457.35, 686.07 and 164.87

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Solution

The fourth proportional to 457.35, 686.07 and 164.87 is: 247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.35 : 686.07 = 164.87 : x
  2. Step 2: Convert to fraction form
    457.35/686.07 = 164.87/x
  3. Step 3: Cross multiply
    457.35x = 686.07 × 164.87
  4. Step 4: Simplify right side
    457.35x = 113,115.04
  5. Step 5: Solve for x
    x = 113,115.04/457.35
  6. Step 6: Final answer
    x = 247.33

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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.