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Finding the Fourth Proportional to 249.67, 374.78 and 181.23

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Solution

The fourth proportional to 249.67, 374.78 and 181.23 is: 272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.67 : 374.78 = 181.23 : x
  2. Step 2: Convert to fraction form
    249.67/374.78 = 181.23/x
  3. Step 3: Cross multiply
    249.67x = 374.78 × 181.23
  4. Step 4: Simplify right side
    249.67x = 67,921.38
  5. Step 5: Solve for x
    x = 67,921.38/249.67
  6. Step 6: Final answer
    x = 272.04

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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.