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Finding the Fourth Proportional to 514.38, 771.33 and 167.62

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Solution

The fourth proportional to 514.38, 771.33 and 167.62 is: 251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.38 : 771.33 = 167.62 : x
  2. Step 2: Convert to fraction form
    514.38/771.33 = 167.62/x
  3. Step 3: Cross multiply
    514.38x = 771.33 × 167.62
  4. Step 4: Simplify right side
    514.38x = 129,290.33
  5. Step 5: Solve for x
    x = 129,290.33/514.38
  6. Step 6: Final answer
    x = 251.35

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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.