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Finding the Fourth Proportional to 135.25, 202.26 and 115.81

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Solution

The fourth proportional to 135.25, 202.26 and 115.81 is: 173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.25 : 202.26 = 115.81 : x
  2. Step 2: Convert to fraction form
    135.25/202.26 = 115.81/x
  3. Step 3: Cross multiply
    135.25x = 202.26 × 115.81
  4. Step 4: Simplify right side
    135.25x = 23,423.73
  5. Step 5: Solve for x
    x = 23,423.73/135.25
  6. Step 6: Final answer
    x = 173.19

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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.