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Finding the Fourth Proportional to 249.54, 374.22 and 95.46

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Solution

The fourth proportional to 249.54, 374.22 and 95.46 is: 143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.54 : 374.22 = 95.46 : x
  2. Step 2: Convert to fraction form
    249.54/374.22 = 95.46/x
  3. Step 3: Cross multiply
    249.54x = 374.22 × 95.46
  4. Step 4: Simplify right side
    249.54x = 35,723.04
  5. Step 5: Solve for x
    x = 35,723.04/249.54
  6. Step 6: Final answer
    x = 143.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.