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Finding the Fourth Proportional to 221.22, 305.46 and 196.74

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Solution

The fourth proportional to 221.22, 305.46 and 196.74 is: 271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.22 : 305.46 = 196.74 : x
  2. Step 2: Convert to fraction form
    221.22/305.46 = 196.74/x
  3. Step 3: Cross multiply
    221.22x = 305.46 × 196.74
  4. Step 4: Simplify right side
    221.22x = 60,096.20
  5. Step 5: Solve for x
    x = 60,096.20/221.22
  6. Step 6: Final answer
    x = 271.66

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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.