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Finding the Fourth Proportional to 249.46, 344.32 and 144.61

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Solution

The fourth proportional to 249.46, 344.32 and 144.61 is: 199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.46 : 344.32 = 144.61 : x
  2. Step 2: Convert to fraction form
    249.46/344.32 = 144.61/x
  3. Step 3: Cross multiply
    249.46x = 344.32 × 144.61
  4. Step 4: Simplify right side
    249.46x = 49,790.89
  5. Step 5: Solve for x
    x = 49,790.89/249.46
  6. Step 6: Final answer
    x = 199.60

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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.