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Finding the Fourth Proportional to 249.41, 374.31 and 180.96

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Solution

The fourth proportional to 249.41, 374.31 and 180.96 is: 271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.41 : 374.31 = 180.96 : x
  2. Step 2: Convert to fraction form
    249.41/374.31 = 180.96/x
  3. Step 3: Cross multiply
    249.41x = 374.31 × 180.96
  4. Step 4: Simplify right side
    249.41x = 67,735.14
  5. Step 5: Solve for x
    x = 67,735.14/249.41
  6. Step 6: Final answer
    x = 271.58

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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.