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Finding the Fourth Proportional to 181.28, 250.11 and 132.23

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Solution

The fourth proportional to 181.28, 250.11 and 132.23 is: 182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.28 : 250.11 = 132.23 : x
  2. Step 2: Convert to fraction form
    181.28/250.11 = 132.23/x
  3. Step 3: Cross multiply
    181.28x = 250.11 × 132.23
  4. Step 4: Simplify right side
    181.28x = 33,072.67
  5. Step 5: Solve for x
    x = 33,072.67/181.28
  6. Step 6: Final answer
    x = 182.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.