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Finding the Fourth Proportional to 232.78, 348.79 and 102.59

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Solution

The fourth proportional to 232.78, 348.79 and 102.59 is: 153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.78 : 348.79 = 102.59 : x
  2. Step 2: Convert to fraction form
    232.78/348.79 = 102.59/x
  3. Step 3: Cross multiply
    232.78x = 348.79 × 102.59
  4. Step 4: Simplify right side
    232.78x = 35,782.37
  5. Step 5: Solve for x
    x = 35,782.37/232.78
  6. Step 6: Final answer
    x = 153.72

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