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Finding the Fourth Proportional to 249.44, 344.20 and 144.56

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Solution

The fourth proportional to 249.44, 344.20 and 144.56 is: 199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.44 : 344.20 = 144.56 : x
  2. Step 2: Convert to fraction form
    249.44/344.20 = 144.56/x
  3. Step 3: Cross multiply
    249.44x = 344.20 × 144.56
  4. Step 4: Simplify right side
    249.44x = 49,757.55
  5. Step 5: Solve for x
    x = 49,757.55/249.44
  6. Step 6: Final answer
    x = 199.48

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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.