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Finding the Fourth Proportional to 249.75, 344.58 and 144.84

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Solution

The fourth proportional to 249.75, 344.58 and 144.84 is: 199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.75 : 344.58 = 144.84 : x
  2. Step 2: Convert to fraction form
    249.75/344.58 = 144.84/x
  3. Step 3: Cross multiply
    249.75x = 344.58 × 144.84
  4. Step 4: Simplify right side
    249.75x = 49,908.97
  5. Step 5: Solve for x
    x = 49,908.97/249.75
  6. Step 6: Final answer
    x = 199.84

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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.