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Finding the Fourth Proportional to 201.11, 301.82 and 132.61

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Solution

The fourth proportional to 201.11, 301.82 and 132.61 is: 199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.11 : 301.82 = 132.61 : x
  2. Step 2: Convert to fraction form
    201.11/301.82 = 132.61/x
  3. Step 3: Cross multiply
    201.11x = 301.82 × 132.61
  4. Step 4: Simplify right side
    201.11x = 40,024.02
  5. Step 5: Solve for x
    x = 40,024.02/201.11
  6. Step 6: Final answer
    x = 199.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.