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Finding the Fourth Proportional to 267.24, 400.88 and 113.20

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Solution

The fourth proportional to 267.24, 400.88 and 113.20 is: 169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.24 : 400.88 = 113.20 : x
  2. Step 2: Convert to fraction form
    267.24/400.88 = 113.20/x
  3. Step 3: Cross multiply
    267.24x = 400.88 × 113.20
  4. Step 4: Simplify right side
    267.24x = 45,379.62
  5. Step 5: Solve for x
    x = 45,379.62/267.24
  6. Step 6: Final answer
    x = 169.81

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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.