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Finding the Fourth Proportional to 193.22, 289.78 and 77.63

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Solution

The fourth proportional to 193.22, 289.78 and 77.63 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.22 : 289.78 = 77.63 : x
  2. Step 2: Convert to fraction form
    193.22/289.78 = 77.63/x
  3. Step 3: Cross multiply
    193.22x = 289.78 × 77.63
  4. Step 4: Simplify right side
    193.22x = 22,493.98
  5. Step 5: Solve for x
    x = 22,493.98/193.22
  6. Step 6: Final answer
    x = 116.42

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