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Finding the Fourth Proportional to 263.22, 363.25 and 146.78

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Solution

The fourth proportional to 263.22, 363.25 and 146.78 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.22 : 363.25 = 146.78 : x
  2. Step 2: Convert to fraction form
    263.22/363.25 = 146.78/x
  3. Step 3: Cross multiply
    263.22x = 363.25 × 146.78
  4. Step 4: Simplify right side
    263.22x = 53,318.01
  5. Step 5: Solve for x
    x = 53,318.01/263.22
  6. Step 6: Final answer
    x = 202.56

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