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Finding the Fourth Proportional to 371.78, 513.06 and 205.98

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Solution

The fourth proportional to 371.78, 513.06 and 205.98 is: 284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.78 : 513.06 = 205.98 : x
  2. Step 2: Convert to fraction form
    371.78/513.06 = 205.98/x
  3. Step 3: Cross multiply
    371.78x = 513.06 × 205.98
  4. Step 4: Simplify right side
    371.78x = 105,680.10
  5. Step 5: Solve for x
    x = 105,680.10/371.78
  6. Step 6: Final answer
    x = 284.26

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