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Finding the Fourth Proportional to 549.32, 823.98 and 164.57

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Solution

The fourth proportional to 549.32, 823.98 and 164.57 is: 246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.32 : 823.98 = 164.57 : x
  2. Step 2: Convert to fraction form
    549.32/823.98 = 164.57/x
  3. Step 3: Cross multiply
    549.32x = 823.98 × 164.57
  4. Step 4: Simplify right side
    549.32x = 135,602.39
  5. Step 5: Solve for x
    x = 135,602.39/549.32
  6. Step 6: Final answer
    x = 246.86

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