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Finding the Fourth Proportional to 181.31, 249.86 and 132.09

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Solution

The fourth proportional to 181.31, 249.86 and 132.09 is: 182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.31 : 249.86 = 132.09 : x
  2. Step 2: Convert to fraction form
    181.31/249.86 = 132.09/x
  3. Step 3: Cross multiply
    181.31x = 249.86 × 132.09
  4. Step 4: Simplify right side
    181.31x = 33,003.35
  5. Step 5: Solve for x
    x = 33,003.35/181.31
  6. Step 6: Final answer
    x = 182.03

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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.