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Finding the Fourth Proportional to 549.29, 823.98 and 164.54

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Solution

The fourth proportional to 549.29, 823.98 and 164.54 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.29 : 823.98 = 164.54 : x
  2. Step 2: Convert to fraction form
    549.29/823.98 = 164.54/x
  3. Step 3: Cross multiply
    549.29x = 823.98 × 164.54
  4. Step 4: Simplify right side
    549.29x = 135,577.67
  5. Step 5: Solve for x
    x = 135,577.67/549.29
  6. Step 6: Final answer
    x = 246.82

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