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Finding the Fourth Proportional to 181.28, 249.84 and 132.08

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Solution

The fourth proportional to 181.28, 249.84 and 132.08 is: 182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.28 : 249.84 = 132.08 : x
  2. Step 2: Convert to fraction form
    181.28/249.84 = 132.08/x
  3. Step 3: Cross multiply
    181.28x = 249.84 × 132.08
  4. Step 4: Simplify right side
    181.28x = 32,998.87
  5. Step 5: Solve for x
    x = 32,998.87/181.28
  6. Step 6: Final answer
    x = 182.03

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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.