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Finding the Fourth Proportional to 493.85, 740.25 and 164.70

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Solution

The fourth proportional to 493.85, 740.25 and 164.70 is: 246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.85 : 740.25 = 164.70 : x
  2. Step 2: Convert to fraction form
    493.85/740.25 = 164.70/x
  3. Step 3: Cross multiply
    493.85x = 740.25 × 164.70
  4. Step 4: Simplify right side
    493.85x = 121,920.97
  5. Step 5: Solve for x
    x = 121,920.97/493.85
  6. Step 6: Final answer
    x = 246.88

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