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Finding the Fourth Proportional to 196.44, 294.77 and 80.97

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Solution

The fourth proportional to 196.44, 294.77 and 80.97 is: 121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.44 : 294.77 = 80.97 : x
  2. Step 2: Convert to fraction form
    196.44/294.77 = 80.97/x
  3. Step 3: Cross multiply
    196.44x = 294.77 × 80.97
  4. Step 4: Simplify right side
    196.44x = 23,867.53
  5. Step 5: Solve for x
    x = 23,867.53/196.44
  6. Step 6: Final answer
    x = 121.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.