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Finding the Fourth Proportional to 457.61, 686.01 and 165.05

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Solution

The fourth proportional to 457.61, 686.01 and 165.05 is: 247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.61 : 686.01 = 165.05 : x
  2. Step 2: Convert to fraction form
    457.61/686.01 = 165.05/x
  3. Step 3: Cross multiply
    457.61x = 686.01 × 165.05
  4. Step 4: Simplify right side
    457.61x = 113,222.52
  5. Step 5: Solve for x
    x = 113,222.52/457.61
  6. Step 6: Final answer
    x = 247.42

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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.