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Finding the Fourth Proportional to 382.43, 573.32 and 165.84

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Solution

The fourth proportional to 382.43, 573.32 and 165.84 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.43 : 573.32 = 165.84 : x
  2. Step 2: Convert to fraction form
    382.43/573.32 = 165.84/x
  3. Step 3: Cross multiply
    382.43x = 573.32 × 165.84
  4. Step 4: Simplify right side
    382.43x = 95,078.56
  5. Step 5: Solve for x
    x = 95,078.56/382.43
  6. Step 6: Final answer
    x = 248.62

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