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Finding the Fourth Proportional to 197.78, 296.76 and 82.26

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Solution

The fourth proportional to 197.78, 296.76 and 82.26 is: 123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 296.76 = 82.26 : x
  2. Step 2: Convert to fraction form
    197.78/296.76 = 82.26/x
  3. Step 3: Cross multiply
    197.78x = 296.76 × 82.26
  4. Step 4: Simplify right side
    197.78x = 24,410.36
  5. Step 5: Solve for x
    x = 24,410.36/197.78
  6. Step 6: Final answer
    x = 123.42

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