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Finding the Fourth Proportional to 133.80, 201.11 and 132.18

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Solution

The fourth proportional to 133.80, 201.11 and 132.18 is: 198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.80 : 201.11 = 132.18 : x
  2. Step 2: Convert to fraction form
    133.80/201.11 = 132.18/x
  3. Step 3: Cross multiply
    133.80x = 201.11 × 132.18
  4. Step 4: Simplify right side
    133.80x = 26,582.06
  5. Step 5: Solve for x
    x = 26,582.06/133.80
  6. Step 6: Final answer
    x = 198.67

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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.