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Finding the Fourth Proportional to 514.27, 771.47 and 167.73

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Solution

The fourth proportional to 514.27, 771.47 and 167.73 is: 251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.27 : 771.47 = 167.73 : x
  2. Step 2: Convert to fraction form
    514.27/771.47 = 167.73/x
  3. Step 3: Cross multiply
    514.27x = 771.47 × 167.73
  4. Step 4: Simplify right side
    514.27x = 129,398.66
  5. Step 5: Solve for x
    x = 129,398.66/514.27
  6. Step 6: Final answer
    x = 251.62

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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.