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Finding the Fourth Proportional to 267.87, 402.24 and 165.80

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Solution

The fourth proportional to 267.87, 402.24 and 165.80 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.87 : 402.24 = 165.80 : x
  2. Step 2: Convert to fraction form
    267.87/402.24 = 165.80/x
  3. Step 3: Cross multiply
    267.87x = 402.24 × 165.80
  4. Step 4: Simplify right side
    267.87x = 66,692.09
  5. Step 5: Solve for x
    x = 66,692.09/267.87
  6. Step 6: Final answer
    x = 248.97

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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.