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Finding the Fourth Proportional to 221.86, 333.38 and 119.22

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Solution

The fourth proportional to 221.86, 333.38 and 119.22 is: 179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.86 : 333.38 = 119.22 : x
  2. Step 2: Convert to fraction form
    221.86/333.38 = 119.22/x
  3. Step 3: Cross multiply
    221.86x = 333.38 × 119.22
  4. Step 4: Simplify right side
    221.86x = 39,745.56
  5. Step 5: Solve for x
    x = 39,745.56/221.86
  6. Step 6: Final answer
    x = 179.15

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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.