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Finding the Fourth Proportional to 549.19, 823.79 and 164.44

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Solution

The fourth proportional to 549.19, 823.79 and 164.44 is: 246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.19 : 823.79 = 164.44 : x
  2. Step 2: Convert to fraction form
    549.19/823.79 = 164.44/x
  3. Step 3: Cross multiply
    549.19x = 823.79 × 164.44
  4. Step 4: Simplify right side
    549.19x = 135,464.03
  5. Step 5: Solve for x
    x = 135,464.03/549.19
  6. Step 6: Final answer
    x = 246.66

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