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Finding the Fourth Proportional to 267.14, 400.37 and 112.98

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Solution

The fourth proportional to 267.14, 400.37 and 112.98 is: 169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.14 : 400.37 = 112.98 : x
  2. Step 2: Convert to fraction form
    267.14/400.37 = 112.98/x
  3. Step 3: Cross multiply
    267.14x = 400.37 × 112.98
  4. Step 4: Simplify right side
    267.14x = 45,233.24
  5. Step 5: Solve for x
    x = 45,233.24/267.14
  6. Step 6: Final answer
    x = 169.33

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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.