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Finding the Fourth Proportional to 249.70, 344.54 and 144.79

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Solution

The fourth proportional to 249.70, 344.54 and 144.79 is: 199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.70 : 344.54 = 144.79 : x
  2. Step 2: Convert to fraction form
    249.70/344.54 = 144.79/x
  3. Step 3: Cross multiply
    249.70x = 344.54 × 144.79
  4. Step 4: Simplify right side
    249.70x = 49,883.50
  5. Step 5: Solve for x
    x = 49,883.50/249.70
  6. Step 6: Final answer
    x = 199.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.