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Finding the Fourth Proportional to 249.27, 343.79 and 161.79

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Solution

The fourth proportional to 249.27, 343.79 and 161.79 is: 223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.27 : 343.79 = 161.79 : x
  2. Step 2: Convert to fraction form
    249.27/343.79 = 161.79/x
  3. Step 3: Cross multiply
    249.27x = 343.79 × 161.79
  4. Step 4: Simplify right side
    249.27x = 55,620.98
  5. Step 5: Solve for x
    x = 55,620.98/249.27
  6. Step 6: Final answer
    x = 223.14

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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.