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Finding the Fourth Proportional to 282.02, 422.80 and 195.13

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Solution

The fourth proportional to 282.02, 422.80 and 195.13 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.02 : 422.80 = 195.13 : x
  2. Step 2: Convert to fraction form
    282.02/422.80 = 195.13/x
  3. Step 3: Cross multiply
    282.02x = 422.80 × 195.13
  4. Step 4: Simplify right side
    282.02x = 82,500.96
  5. Step 5: Solve for x
    x = 82,500.96/282.02
  6. Step 6: Final answer
    x = 292.54

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