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Finding the Fourth Proportional to 249.47, 343.97 and 202.71

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Solution

The fourth proportional to 249.47, 343.97 and 202.71 is: 279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.47 : 343.97 = 202.71 : x
  2. Step 2: Convert to fraction form
    249.47/343.97 = 202.71/x
  3. Step 3: Cross multiply
    249.47x = 343.97 × 202.71
  4. Step 4: Simplify right side
    249.47x = 69,725.15
  5. Step 5: Solve for x
    x = 69,725.15/249.47
  6. Step 6: Final answer
    x = 279.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.