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Finding the Fourth Proportional to 196.97, 271.83 and 109.65

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Solution

The fourth proportional to 196.97, 271.83 and 109.65 is: 151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.97 : 271.83 = 109.65 : x
  2. Step 2: Convert to fraction form
    196.97/271.83 = 109.65/x
  3. Step 3: Cross multiply
    196.97x = 271.83 × 109.65
  4. Step 4: Simplify right side
    196.97x = 29,806.16
  5. Step 5: Solve for x
    x = 29,806.16/196.97
  6. Step 6: Final answer
    x = 151.33

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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.