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Finding the Fourth Proportional to 221.30, 331.96 and 113.30

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Solution

The fourth proportional to 221.30, 331.96 and 113.30 is: 169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.30 : 331.96 = 113.30 : x
  2. Step 2: Convert to fraction form
    221.30/331.96 = 113.30/x
  3. Step 3: Cross multiply
    221.30x = 331.96 × 113.30
  4. Step 4: Simplify right side
    221.30x = 37,611.07
  5. Step 5: Solve for x
    x = 37,611.07/221.30
  6. Step 6: Final answer
    x = 169.96

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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.