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Finding the Fourth Proportional to 196.33, 270.94 and 122.65

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Solution

The fourth proportional to 196.33, 270.94 and 122.65 is: 169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.33 : 270.94 = 122.65 : x
  2. Step 2: Convert to fraction form
    196.33/270.94 = 122.65/x
  3. Step 3: Cross multiply
    196.33x = 270.94 × 122.65
  4. Step 4: Simplify right side
    196.33x = 33,230.79
  5. Step 5: Solve for x
    x = 33,230.79/196.33
  6. Step 6: Final answer
    x = 169.26

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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.