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Finding the Fourth Proportional to 494.20, 741.66 and 169.84

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Solution

The fourth proportional to 494.20, 741.66 and 169.84 is: 254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 741.66 = 169.84 : x
  2. Step 2: Convert to fraction form
    494.20/741.66 = 169.84/x
  3. Step 3: Cross multiply
    494.20x = 741.66 × 169.84
  4. Step 4: Simplify right side
    494.20x = 125,963.53
  5. Step 5: Solve for x
    x = 125,963.53/494.20
  6. Step 6: Final answer
    x = 254.88

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