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Finding the Fourth Proportional to 267.14, 400.60 and 113.14

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Solution

The fourth proportional to 267.14, 400.60 and 113.14 is: 169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.14 : 400.60 = 113.14 : x
  2. Step 2: Convert to fraction form
    267.14/400.60 = 113.14/x
  3. Step 3: Cross multiply
    267.14x = 400.60 × 113.14
  4. Step 4: Simplify right side
    267.14x = 45,323.88
  5. Step 5: Solve for x
    x = 45,323.88/267.14
  6. Step 6: Final answer
    x = 169.66

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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.