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Finding the Fourth Proportional to 258.71, 357 and 142.28

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Solution

The fourth proportional to 258.71, 357 and 142.28 is: 196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.71 : 357 = 142.28 : x
  2. Step 2: Convert to fraction form
    258.71/357 = 142.28/x
  3. Step 3: Cross multiply
    258.71x = 357 × 142.28
  4. Step 4: Simplify right side
    258.71x = 50,792.18
  5. Step 5: Solve for x
    x = 50,792.18/258.71
  6. Step 6: Final answer
    x = 196.33

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