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Finding the Fourth Proportional to 249.15, 343.80 and 144.27

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Solution

The fourth proportional to 249.15, 343.80 and 144.27 is: 199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.15 : 343.80 = 144.27 : x
  2. Step 2: Convert to fraction form
    249.15/343.80 = 144.27/x
  3. Step 3: Cross multiply
    249.15x = 343.80 × 144.27
  4. Step 4: Simplify right side
    249.15x = 49,600.03
  5. Step 5: Solve for x
    x = 49,600.03/249.15
  6. Step 6: Final answer
    x = 199.08

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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.