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Finding the Fourth Proportional to 249.30, 344.08 and 144.44

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Solution

The fourth proportional to 249.30, 344.08 and 144.44 is: 199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.30 : 344.08 = 144.44 : x
  2. Step 2: Convert to fraction form
    249.30/344.08 = 144.44/x
  3. Step 3: Cross multiply
    249.30x = 344.08 × 144.44
  4. Step 4: Simplify right side
    249.30x = 49,698.92
  5. Step 5: Solve for x
    x = 49,698.92/249.30
  6. Step 6: Final answer
    x = 199.35

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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.