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Finding the Fourth Proportional to 282.12, 422.46 and 195.36

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Solution

The fourth proportional to 282.12, 422.46 and 195.36 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.12 : 422.46 = 195.36 : x
  2. Step 2: Convert to fraction form
    282.12/422.46 = 195.36/x
  3. Step 3: Cross multiply
    282.12x = 422.46 × 195.36
  4. Step 4: Simplify right side
    282.12x = 82,531.79
  5. Step 5: Solve for x
    x = 82,531.79/282.12
  6. Step 6: Final answer
    x = 292.54

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