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Finding the Fourth Proportional to 493.20, 739.70 and 146.52

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Solution

The fourth proportional to 493.20, 739.70 and 146.52 is: 219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.20 : 739.70 = 146.52 : x
  2. Step 2: Convert to fraction form
    493.20/739.70 = 146.52/x
  3. Step 3: Cross multiply
    493.20x = 739.70 × 146.52
  4. Step 4: Simplify right side
    493.20x = 108,380.84
  5. Step 5: Solve for x
    x = 108,380.84/493.20
  6. Step 6: Final answer
    x = 219.75

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