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Finding the Fourth Proportional to 548.82, 823.23 and 164.07

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Solution

The fourth proportional to 548.82, 823.23 and 164.07 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.82 : 823.23 = 164.07 : x
  2. Step 2: Convert to fraction form
    548.82/823.23 = 164.07/x
  3. Step 3: Cross multiply
    548.82x = 823.23 × 164.07
  4. Step 4: Simplify right side
    548.82x = 135,067.35
  5. Step 5: Solve for x
    x = 135,067.35/548.82
  6. Step 6: Final answer
    x = 246.11

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