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Finding the Fourth Proportional to 371.03, 512.00 and 205.23

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Solution

The fourth proportional to 371.03, 512.00 and 205.23 is: 283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.03 : 512.00 = 205.23 : x
  2. Step 2: Convert to fraction form
    371.03/512.00 = 205.23/x
  3. Step 3: Cross multiply
    371.03x = 512.00 × 205.23
  4. Step 4: Simplify right side
    371.03x = 105,078.27
  5. Step 5: Solve for x
    x = 105,078.27/371.03
  6. Step 6: Final answer
    x = 283.21

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