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Finding the Fourth Proportional to 195.78, 270.29 and 122.14

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Solution

The fourth proportional to 195.78, 270.29 and 122.14 is: 168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.78 : 270.29 = 122.14 : x
  2. Step 2: Convert to fraction form
    195.78/270.29 = 122.14/x
  3. Step 3: Cross multiply
    195.78x = 270.29 × 122.14
  4. Step 4: Simplify right side
    195.78x = 33,011.87
  5. Step 5: Solve for x
    x = 33,011.87/195.78
  6. Step 6: Final answer
    x = 168.62

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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.