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Finding the Fourth Proportional to 221.14, 305.26 and 127.97

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Solution

The fourth proportional to 221.14, 305.26 and 127.97 is: 176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.14 : 305.26 = 127.97 : x
  2. Step 2: Convert to fraction form
    221.14/305.26 = 127.97/x
  3. Step 3: Cross multiply
    221.14x = 305.26 × 127.97
  4. Step 4: Simplify right side
    221.14x = 39,064.12
  5. Step 5: Solve for x
    x = 39,064.12/221.14
  6. Step 6: Final answer
    x = 176.65

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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.