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Finding the Fourth Proportional to 549.83, 824.64 and 165.08

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Solution

The fourth proportional to 549.83, 824.64 and 165.08 is: 247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.83 : 824.64 = 165.08 : x
  2. Step 2: Convert to fraction form
    549.83/824.64 = 165.08/x
  3. Step 3: Cross multiply
    549.83x = 824.64 × 165.08
  4. Step 4: Simplify right side
    549.83x = 136,131.57
  5. Step 5: Solve for x
    x = 136,131.57/549.83
  6. Step 6: Final answer
    x = 247.59

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