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Finding the Fourth Proportional to 267.14, 400.71 and 74.76

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Solution

The fourth proportional to 267.14, 400.71 and 74.76 is: 112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.14 : 400.71 = 74.76 : x
  2. Step 2: Convert to fraction form
    267.14/400.71 = 74.76/x
  3. Step 3: Cross multiply
    267.14x = 400.71 × 74.76
  4. Step 4: Simplify right side
    267.14x = 29,957.08
  5. Step 5: Solve for x
    x = 29,957.08/267.14
  6. Step 6: Final answer
    x = 112.14

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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.