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Finding the Fourth Proportional to 196.73, 294.91 and 81.16

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Solution

The fourth proportional to 196.73, 294.91 and 81.16 is: 121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.73 : 294.91 = 81.16 : x
  2. Step 2: Convert to fraction form
    196.73/294.91 = 81.16/x
  3. Step 3: Cross multiply
    196.73x = 294.91 × 81.16
  4. Step 4: Simplify right side
    196.73x = 23,933.96
  5. Step 5: Solve for x
    x = 23,933.96/196.73
  6. Step 6: Final answer
    x = 121.66

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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.