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Finding the Fourth Proportional to 549.78, 824.15 and 184.30

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Solution

The fourth proportional to 549.78, 824.15 and 184.30 is: 276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.78 : 824.15 = 184.30 : x
  2. Step 2: Convert to fraction form
    549.78/824.15 = 184.30/x
  3. Step 3: Cross multiply
    549.78x = 824.15 × 184.30
  4. Step 4: Simplify right side
    549.78x = 151,890.85
  5. Step 5: Solve for x
    x = 151,890.85/549.78
  6. Step 6: Final answer
    x = 276.28

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