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Finding the Fourth Proportional to 225.78, 338.66 and 195.24

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Solution

The fourth proportional to 225.78, 338.66 and 195.24 is: 292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.78 : 338.66 = 195.24 : x
  2. Step 2: Convert to fraction form
    225.78/338.66 = 195.24/x
  3. Step 3: Cross multiply
    225.78x = 338.66 × 195.24
  4. Step 4: Simplify right side
    225.78x = 66,119.98
  5. Step 5: Solve for x
    x = 66,119.98/225.78
  6. Step 6: Final answer
    x = 292.85

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