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Finding the Fourth Proportional to 249.28, 343.74 and 212.38

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Solution

The fourth proportional to 249.28, 343.74 and 212.38 is: 292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.28 : 343.74 = 212.38 : x
  2. Step 2: Convert to fraction form
    249.28/343.74 = 212.38/x
  3. Step 3: Cross multiply
    249.28x = 343.74 × 212.38
  4. Step 4: Simplify right side
    249.28x = 73,003.50
  5. Step 5: Solve for x
    x = 73,003.50/249.28
  6. Step 6: Final answer
    x = 292.86

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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.