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Finding the Fourth Proportional to 282, 389.20 and 163.96

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Solution

The fourth proportional to 282, 389.20 and 163.96 is: 226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282 : 389.20 = 163.96 : x
  2. Step 2: Convert to fraction form
    282/389.20 = 163.96/x
  3. Step 3: Cross multiply
    282x = 389.20 × 163.96
  4. Step 4: Simplify right side
    282x = 63,813.23
  5. Step 5: Solve for x
    x = 63,813.23/282
  6. Step 6: Final answer
    x = 226.29

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