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Finding the Fourth Proportional to 267.10, 369.57 and 232.68

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Solution

The fourth proportional to 267.10, 369.57 and 232.68 is: 321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.10 : 369.57 = 232.68 : x
  2. Step 2: Convert to fraction form
    267.10/369.57 = 232.68/x
  3. Step 3: Cross multiply
    267.10x = 369.57 × 232.68
  4. Step 4: Simplify right side
    267.10x = 85,991.55
  5. Step 5: Solve for x
    x = 85,991.55/267.10
  6. Step 6: Final answer
    x = 321.95

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Why These Related Problems?

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