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Finding the Fourth Proportional to 181.67, 250.37 and 132.46

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Solution

The fourth proportional to 181.67, 250.37 and 132.46 is: 182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.67 : 250.37 = 132.46 : x
  2. Step 2: Convert to fraction form
    181.67/250.37 = 132.46/x
  3. Step 3: Cross multiply
    181.67x = 250.37 × 132.46
  4. Step 4: Simplify right side
    181.67x = 33,163.22
  5. Step 5: Solve for x
    x = 33,163.22/181.67
  6. Step 6: Final answer
    x = 182.55

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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.