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Finding the Fourth Proportional to 221.73, 305.84 and 147.92

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Solution

The fourth proportional to 221.73, 305.84 and 147.92 is: 204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.73 : 305.84 = 147.92 : x
  2. Step 2: Convert to fraction form
    221.73/305.84 = 147.92/x
  3. Step 3: Cross multiply
    221.73x = 305.84 × 147.92
  4. Step 4: Simplify right side
    221.73x = 45,237.58
  5. Step 5: Solve for x
    x = 45,237.58/221.73
  6. Step 6: Final answer
    x = 204.02

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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.