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Finding the Fourth Proportional to 258.02, 356 and 164.78

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Solution

The fourth proportional to 258.02, 356 and 164.78 is: 227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.02 : 356 = 164.78 : x
  2. Step 2: Convert to fraction form
    258.02/356 = 164.78/x
  3. Step 3: Cross multiply
    258.02x = 356 × 164.78
  4. Step 4: Simplify right side
    258.02x = 58,661.68
  5. Step 5: Solve for x
    x = 58,661.68/258.02
  6. Step 6: Final answer
    x = 227.35

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