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Finding the Fourth Proportional to 221.22, 305.52 and 147.78

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Solution

The fourth proportional to 221.22, 305.52 and 147.78 is: 204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.22 : 305.52 = 147.78 : x
  2. Step 2: Convert to fraction form
    221.22/305.52 = 147.78/x
  3. Step 3: Cross multiply
    221.22x = 305.52 × 147.78
  4. Step 4: Simplify right side
    221.22x = 45,149.75
  5. Step 5: Solve for x
    x = 45,149.75/221.22
  6. Step 6: Final answer
    x = 204.09

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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.