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Finding the Fourth Proportional to 382.22, 573.56 and 165.80

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Solution

The fourth proportional to 382.22, 573.56 and 165.80 is: 248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 573.56 = 165.80 : x
  2. Step 2: Convert to fraction form
    382.22/573.56 = 165.80/x
  3. Step 3: Cross multiply
    382.22x = 573.56 × 165.80
  4. Step 4: Simplify right side
    382.22x = 95,097.02
  5. Step 5: Solve for x
    x = 95,097.02/382.22
  6. Step 6: Final answer
    x = 248.80

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