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Finding the Fourth Proportional to 282.13, 422.85 and 203.92

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Solution

The fourth proportional to 282.13, 422.85 and 203.92 is: 305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.13 : 422.85 = 203.92 : x
  2. Step 2: Convert to fraction form
    282.13/422.85 = 203.92/x
  3. Step 3: Cross multiply
    282.13x = 422.85 × 203.92
  4. Step 4: Simplify right side
    282.13x = 86,227.57
  5. Step 5: Solve for x
    x = 86,227.57/282.13
  6. Step 6: Final answer
    x = 305.63

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