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Finding the Fourth Proportional to 163.96, 226.22 and 98.44

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Solution

The fourth proportional to 163.96, 226.22 and 98.44 is: 135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.96 : 226.22 = 98.44 : x
  2. Step 2: Convert to fraction form
    163.96/226.22 = 98.44/x
  3. Step 3: Cross multiply
    163.96x = 226.22 × 98.44
  4. Step 4: Simplify right side
    163.96x = 22,269.10
  5. Step 5: Solve for x
    x = 22,269.10/163.96
  6. Step 6: Final answer
    x = 135.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.