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Finding the Fourth Proportional to 281.87, 388.97 and 208.16

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Solution

The fourth proportional to 281.87, 388.97 and 208.16 is: 287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.87 : 388.97 = 208.16 : x
  2. Step 2: Convert to fraction form
    281.87/388.97 = 208.16/x
  3. Step 3: Cross multiply
    281.87x = 388.97 × 208.16
  4. Step 4: Simplify right side
    281.87x = 80,965.98
  5. Step 5: Solve for x
    x = 80,965.98/281.87
  6. Step 6: Final answer
    x = 287.25

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