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Finding the Fourth Proportional to 249.62, 344.22 and 214.76

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Solution

The fourth proportional to 249.62, 344.22 and 214.76 is: 296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.62 : 344.22 = 214.76 : x
  2. Step 2: Convert to fraction form
    249.62/344.22 = 214.76/x
  3. Step 3: Cross multiply
    249.62x = 344.22 × 214.76
  4. Step 4: Simplify right side
    249.62x = 73,923.61
  5. Step 5: Solve for x
    x = 73,923.61/249.62
  6. Step 6: Final answer
    x = 296.14

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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.