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Finding the Fourth Proportional to 221.56, 305.92 and 147.84

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Solution

The fourth proportional to 221.56, 305.92 and 147.84 is: 204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.56 : 305.92 = 147.84 : x
  2. Step 2: Convert to fraction form
    221.56/305.92 = 147.84/x
  3. Step 3: Cross multiply
    221.56x = 305.92 × 147.84
  4. Step 4: Simplify right side
    221.56x = 45,227.21
  5. Step 5: Solve for x
    x = 45,227.21/221.56
  6. Step 6: Final answer
    x = 204.13

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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.