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Finding the Fourth Proportional to 549.24, 824 and 164.52

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Solution

The fourth proportional to 549.24, 824 and 164.52 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 824 = 164.52 : x
  2. Step 2: Convert to fraction form
    549.24/824 = 164.52/x
  3. Step 3: Cross multiply
    549.24x = 824 × 164.52
  4. Step 4: Simplify right side
    549.24x = 135,564.48
  5. Step 5: Solve for x
    x = 135,564.48/549.24
  6. Step 6: Final answer
    x = 246.82

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