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Finding the Fourth Proportional to 249.62, 344.42 and 227.17

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Solution

The fourth proportional to 249.62, 344.42 and 227.17 is: 313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.62 : 344.42 = 227.17 : x
  2. Step 2: Convert to fraction form
    249.62/344.42 = 227.17/x
  3. Step 3: Cross multiply
    249.62x = 344.42 × 227.17
  4. Step 4: Simplify right side
    249.62x = 78,242.04
  5. Step 5: Solve for x
    x = 78,242.04/249.62
  6. Step 6: Final answer
    x = 313.45

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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.