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Finding the Fourth Proportional to 132.26, 198.67 and 130.22

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Solution

The fourth proportional to 132.26, 198.67 and 130.22 is: 195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.26 : 198.67 = 130.22 : x
  2. Step 2: Convert to fraction form
    132.26/198.67 = 130.22/x
  3. Step 3: Cross multiply
    132.26x = 198.67 × 130.22
  4. Step 4: Simplify right side
    132.26x = 25,870.81
  5. Step 5: Solve for x
    x = 25,870.81/132.26
  6. Step 6: Final answer
    x = 195.61

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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.