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Finding the Fourth Proportional to 193.24, 289.63 and 77.61

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Solution

The fourth proportional to 193.24, 289.63 and 77.61 is: 116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.24 : 289.63 = 77.61 : x
  2. Step 2: Convert to fraction form
    193.24/289.63 = 77.61/x
  3. Step 3: Cross multiply
    193.24x = 289.63 × 77.61
  4. Step 4: Simplify right side
    193.24x = 22,477.30
  5. Step 5: Solve for x
    x = 22,477.30/193.24
  6. Step 6: Final answer
    x = 116.32

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