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Finding the Fourth Proportional to 267.97, 369.61 and 168.29

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Solution

The fourth proportional to 267.97, 369.61 and 168.29 is: 232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.97 : 369.61 = 168.29 : x
  2. Step 2: Convert to fraction form
    267.97/369.61 = 168.29/x
  3. Step 3: Cross multiply
    267.97x = 369.61 × 168.29
  4. Step 4: Simplify right side
    267.97x = 62,200.78
  5. Step 5: Solve for x
    x = 62,200.78/267.97
  6. Step 6: Final answer
    x = 232.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.