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Finding the Fourth Proportional to 249.14, 343.77 and 144.19

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Solution

The fourth proportional to 249.14, 343.77 and 144.19 is: 198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.14 : 343.77 = 144.19 : x
  2. Step 2: Convert to fraction form
    249.14/343.77 = 144.19/x
  3. Step 3: Cross multiply
    249.14x = 343.77 × 144.19
  4. Step 4: Simplify right side
    249.14x = 49,567.48
  5. Step 5: Solve for x
    x = 49,567.48/249.14
  6. Step 6: Final answer
    x = 198.95

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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.