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Finding the Fourth Proportional to 249.62, 344.17 and 194.24

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Solution

The fourth proportional to 249.62, 344.17 and 194.24 is: 267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.62 : 344.17 = 194.24 : x
  2. Step 2: Convert to fraction form
    249.62/344.17 = 194.24/x
  3. Step 3: Cross multiply
    249.62x = 344.17 × 194.24
  4. Step 4: Simplify right side
    249.62x = 66,851.96
  5. Step 5: Solve for x
    x = 66,851.96/249.62
  6. Step 6: Final answer
    x = 267.81

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Why These Related Problems?

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