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Finding the Fourth Proportional to 221.96, 333.09 and 113.82

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Solution

The fourth proportional to 221.96, 333.09 and 113.82 is: 170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.96 : 333.09 = 113.82 : x
  2. Step 2: Convert to fraction form
    221.96/333.09 = 113.82/x
  3. Step 3: Cross multiply
    221.96x = 333.09 × 113.82
  4. Step 4: Simplify right side
    221.96x = 37,912.30
  5. Step 5: Solve for x
    x = 37,912.30/221.96
  6. Step 6: Final answer
    x = 170.81

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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.