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Finding the Fourth Proportional to 195.14, 292.26 and 122.78

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Solution

The fourth proportional to 195.14, 292.26 and 122.78 is: 183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.14 : 292.26 = 122.78 : x
  2. Step 2: Convert to fraction form
    195.14/292.26 = 122.78/x
  3. Step 3: Cross multiply
    195.14x = 292.26 × 122.78
  4. Step 4: Simplify right side
    195.14x = 35,883.68
  5. Step 5: Solve for x
    x = 35,883.68/195.14
  6. Step 6: Final answer
    x = 183.89

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