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Finding the Fourth Proportional to 249.53, 344.52 and 187.49

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Solution

The fourth proportional to 249.53, 344.52 and 187.49 is: 258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.53 : 344.52 = 187.49 : x
  2. Step 2: Convert to fraction form
    249.53/344.52 = 187.49/x
  3. Step 3: Cross multiply
    249.53x = 344.52 × 187.49
  4. Step 4: Simplify right side
    249.53x = 64,594.05
  5. Step 5: Solve for x
    x = 64,594.05/249.53
  6. Step 6: Final answer
    x = 258.86

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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.