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Finding the Fourth Proportional to 221.19, 305.27 and 122.97

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Solution

The fourth proportional to 221.19, 305.27 and 122.97 is: 169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.19 : 305.27 = 122.97 : x
  2. Step 2: Convert to fraction form
    221.19/305.27 = 122.97/x
  3. Step 3: Cross multiply
    221.19x = 305.27 × 122.97
  4. Step 4: Simplify right side
    221.19x = 37,538.44
  5. Step 5: Solve for x
    x = 37,538.44/221.19
  6. Step 6: Final answer
    x = 169.71

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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.