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Finding the Fourth Proportional to 549.05, 823.55 and 178.85

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Solution

The fourth proportional to 549.05, 823.55 and 178.85 is: 268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.05 : 823.55 = 178.85 : x
  2. Step 2: Convert to fraction form
    549.05/823.55 = 178.85/x
  3. Step 3: Cross multiply
    549.05x = 823.55 × 178.85
  4. Step 4: Simplify right side
    549.05x = 147,291.92
  5. Step 5: Solve for x
    x = 147,291.92/549.05
  6. Step 6: Final answer
    x = 268.27

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