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Finding the Fourth Proportional to 258.78, 357.24 and 175.96

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Solution

The fourth proportional to 258.78, 357.24 and 175.96 is: 242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.78 : 357.24 = 175.96 : x
  2. Step 2: Convert to fraction form
    258.78/357.24 = 175.96/x
  3. Step 3: Cross multiply
    258.78x = 357.24 × 175.96
  4. Step 4: Simplify right side
    258.78x = 62,859.95
  5. Step 5: Solve for x
    x = 62,859.95/258.78
  6. Step 6: Final answer
    x = 242.91

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