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Finding the Fourth Proportional to 267.91, 369.66 and 254.24

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Solution

The fourth proportional to 267.91, 369.66 and 254.24 is: 350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.91 : 369.66 = 254.24 : x
  2. Step 2: Convert to fraction form
    267.91/369.66 = 254.24/x
  3. Step 3: Cross multiply
    267.91x = 369.66 × 254.24
  4. Step 4: Simplify right side
    267.91x = 93,982.85
  5. Step 5: Solve for x
    x = 93,982.85/267.91
  6. Step 6: Final answer
    x = 350.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.