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Finding the Fourth Proportional to 267.24, 400.78 and 93.86

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Solution

The fourth proportional to 267.24, 400.78 and 93.86 is: 140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.24 : 400.78 = 93.86 : x
  2. Step 2: Convert to fraction form
    267.24/400.78 = 93.86/x
  3. Step 3: Cross multiply
    267.24x = 400.78 × 93.86
  4. Step 4: Simplify right side
    267.24x = 37,617.21
  5. Step 5: Solve for x
    x = 37,617.21/267.24
  6. Step 6: Final answer
    x = 140.76

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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.