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Finding the Fourth Proportional to 249.04, 343.84 and 199.76

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Solution

The fourth proportional to 249.04, 343.84 and 199.76 is: 275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.04 : 343.84 = 199.76 : x
  2. Step 2: Convert to fraction form
    249.04/343.84 = 199.76/x
  3. Step 3: Cross multiply
    249.04x = 343.84 × 199.76
  4. Step 4: Simplify right side
    249.04x = 68,685.48
  5. Step 5: Solve for x
    x = 68,685.48/249.04
  6. Step 6: Final answer
    x = 275.80

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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.