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Finding the Fourth Proportional to 221.49, 305.81 and 172.29

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Solution

The fourth proportional to 221.49, 305.81 and 172.29 is: 237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.49 : 305.81 = 172.29 : x
  2. Step 2: Convert to fraction form
    221.49/305.81 = 172.29/x
  3. Step 3: Cross multiply
    221.49x = 305.81 × 172.29
  4. Step 4: Simplify right side
    221.49x = 52,687.14
  5. Step 5: Solve for x
    x = 52,687.14/221.49
  6. Step 6: Final answer
    x = 237.88

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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.