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Finding the Fourth Proportional to 281.97, 423 and 137.69

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Solution

The fourth proportional to 281.97, 423 and 137.69 is: 206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.97 : 423 = 137.69 : x
  2. Step 2: Convert to fraction form
    281.97/423 = 137.69/x
  3. Step 3: Cross multiply
    281.97x = 423 × 137.69
  4. Step 4: Simplify right side
    281.97x = 58,242.87
  5. Step 5: Solve for x
    x = 58,242.87/281.97
  6. Step 6: Final answer
    x = 206.56

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