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Finding the Fourth Proportional to 181.27, 249.81 and 132.06

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Solution

The fourth proportional to 181.27, 249.81 and 132.06 is: 181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.27 : 249.81 = 132.06 : x
  2. Step 2: Convert to fraction form
    181.27/249.81 = 132.06/x
  3. Step 3: Cross multiply
    181.27x = 249.81 × 132.06
  4. Step 4: Simplify right side
    181.27x = 32,989.91
  5. Step 5: Solve for x
    x = 32,989.91/181.27
  6. Step 6: Final answer
    x = 181.99

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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.