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Finding the Fourth Proportional to 221.78, 306.09 and 127.24

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Solution

The fourth proportional to 221.78, 306.09 and 127.24 is: 175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.78 : 306.09 = 127.24 : x
  2. Step 2: Convert to fraction form
    221.78/306.09 = 127.24/x
  3. Step 3: Cross multiply
    221.78x = 306.09 × 127.24
  4. Step 4: Simplify right side
    221.78x = 38,946.26
  5. Step 5: Solve for x
    x = 38,946.26/221.78
  6. Step 6: Final answer
    x = 175.61

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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.