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Finding the Fourth Proportional to 135.18, 202.90 and 132.08

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Solution

The fourth proportional to 135.18, 202.90 and 132.08 is: 198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.18 : 202.90 = 132.08 : x
  2. Step 2: Convert to fraction form
    135.18/202.90 = 132.08/x
  3. Step 3: Cross multiply
    135.18x = 202.90 × 132.08
  4. Step 4: Simplify right side
    135.18x = 26,799.03
  5. Step 5: Solve for x
    x = 26,799.03/135.18
  6. Step 6: Final answer
    x = 198.25

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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.