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Finding the Fourth Proportional to 221.96, 306.42 and 196.04

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Solution

The fourth proportional to 221.96, 306.42 and 196.04 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.96 : 306.42 = 196.04 : x
  2. Step 2: Convert to fraction form
    221.96/306.42 = 196.04/x
  3. Step 3: Cross multiply
    221.96x = 306.42 × 196.04
  4. Step 4: Simplify right side
    221.96x = 60,070.58
  5. Step 5: Solve for x
    x = 60,070.58/221.96
  6. Step 6: Final answer
    x = 270.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.