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Finding the Fourth Proportional to 221.89, 306.21 and 123.64

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Solution

The fourth proportional to 221.89, 306.21 and 123.64 is: 170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.89 : 306.21 = 123.64 : x
  2. Step 2: Convert to fraction form
    221.89/306.21 = 123.64/x
  3. Step 3: Cross multiply
    221.89x = 306.21 × 123.64
  4. Step 4: Simplify right side
    221.89x = 37,859.80
  5. Step 5: Solve for x
    x = 37,859.80/221.89
  6. Step 6: Final answer
    x = 170.62

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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.