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Finding the Fourth Proportional to 267.42, 400.82 and 113.25

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Solution

The fourth proportional to 267.42, 400.82 and 113.25 is: 169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.42 : 400.82 = 113.25 : x
  2. Step 2: Convert to fraction form
    267.42/400.82 = 113.25/x
  3. Step 3: Cross multiply
    267.42x = 400.82 × 113.25
  4. Step 4: Simplify right side
    267.42x = 45,392.30
  5. Step 5: Solve for x
    x = 45,392.30/267.42
  6. Step 6: Final answer
    x = 169.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.