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Finding the Fourth Proportional to 135.68, 202.92 and 132.80

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Solution

The fourth proportional to 135.68, 202.92 and 132.80 is: 198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.68 : 202.92 = 132.80 : x
  2. Step 2: Convert to fraction form
    135.68/202.92 = 132.80/x
  3. Step 3: Cross multiply
    135.68x = 202.92 × 132.80
  4. Step 4: Simplify right side
    135.68x = 26,947.78
  5. Step 5: Solve for x
    x = 26,947.78/135.68
  6. Step 6: Final answer
    x = 198.61

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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.