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Finding the Fourth Proportional to 221.25, 331.65 and 163.35

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Solution

The fourth proportional to 221.25, 331.65 and 163.35 is: 244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.25 : 331.65 = 163.35 : x
  2. Step 2: Convert to fraction form
    221.25/331.65 = 163.35/x
  3. Step 3: Cross multiply
    221.25x = 331.65 × 163.35
  4. Step 4: Simplify right side
    221.25x = 54,175.03
  5. Step 5: Solve for x
    x = 54,175.03/221.25
  6. Step 6: Final answer
    x = 244.86

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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.