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Finding the Fourth Proportional to 249.87, 344.68 and 151.66

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Solution

The fourth proportional to 249.87, 344.68 and 151.66 is: 209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.87 : 344.68 = 151.66 : x
  2. Step 2: Convert to fraction form
    249.87/344.68 = 151.66/x
  3. Step 3: Cross multiply
    249.87x = 344.68 × 151.66
  4. Step 4: Simplify right side
    249.87x = 52,274.17
  5. Step 5: Solve for x
    x = 52,274.17/249.87
  6. Step 6: Final answer
    x = 209.21

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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.