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Finding the Fourth Proportional to 221.97, 305.97 and 172.76

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Solution

The fourth proportional to 221.97, 305.97 and 172.76 is: 238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.97 : 305.97 = 172.76 : x
  2. Step 2: Convert to fraction form
    221.97/305.97 = 172.76/x
  3. Step 3: Cross multiply
    221.97x = 305.97 × 172.76
  4. Step 4: Simplify right side
    221.97x = 52,857.85
  5. Step 5: Solve for x
    x = 52,857.85/221.97
  6. Step 6: Final answer
    x = 238.13

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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.