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Finding the Fourth Proportional to 249.14, 343.84 and 144.22

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Solution

The fourth proportional to 249.14, 343.84 and 144.22 is: 199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.14 : 343.84 = 144.22 : x
  2. Step 2: Convert to fraction form
    249.14/343.84 = 144.22/x
  3. Step 3: Cross multiply
    249.14x = 343.84 × 144.22
  4. Step 4: Simplify right side
    249.14x = 49,588.60
  5. Step 5: Solve for x
    x = 49,588.60/249.14
  6. Step 6: Final answer
    x = 199.04

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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.