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Finding the Fourth Proportional to 267.85, 401.70 and 113.78

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Solution

The fourth proportional to 267.85, 401.70 and 113.78 is: 170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.85 : 401.70 = 113.78 : x
  2. Step 2: Convert to fraction form
    267.85/401.70 = 113.78/x
  3. Step 3: Cross multiply
    267.85x = 401.70 × 113.78
  4. Step 4: Simplify right side
    267.85x = 45,706.86
  5. Step 5: Solve for x
    x = 45,706.86/267.85
  6. Step 6: Final answer
    x = 170.64

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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.