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Finding the Fourth Proportional to 221.98, 306.07 and 196.06

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Solution

The fourth proportional to 221.98, 306.07 and 196.06 is: 270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.98 : 306.07 = 196.06 : x
  2. Step 2: Convert to fraction form
    221.98/306.07 = 196.06/x
  3. Step 3: Cross multiply
    221.98x = 306.07 × 196.06
  4. Step 4: Simplify right side
    221.98x = 60,008.08
  5. Step 5: Solve for x
    x = 60,008.08/221.98
  6. Step 6: Final answer
    x = 270.33

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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.