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Finding the Fourth Proportional to 267.69, 401.24 and 206.85

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Solution

The fourth proportional to 267.69, 401.24 and 206.85 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.69 : 401.24 = 206.85 : x
  2. Step 2: Convert to fraction form
    267.69/401.24 = 206.85/x
  3. Step 3: Cross multiply
    267.69x = 401.24 × 206.85
  4. Step 4: Simplify right side
    267.69x = 82,995.46
  5. Step 5: Solve for x
    x = 82,995.46/267.69
  6. Step 6: Final answer
    x = 310.04

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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.