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Finding the Fourth Proportional to 132.38, 198.42 and 117.20

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Solution

The fourth proportional to 132.38, 198.42 and 117.20 is: 175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.38 : 198.42 = 117.20 : x
  2. Step 2: Convert to fraction form
    132.38/198.42 = 117.20/x
  3. Step 3: Cross multiply
    132.38x = 198.42 × 117.20
  4. Step 4: Simplify right side
    132.38x = 23,253.83
  5. Step 5: Solve for x
    x = 23,253.83/132.38
  6. Step 6: Final answer
    x = 175.67

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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.