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Finding the Fourth Proportional to 462.44, 693.78 and 137.81

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Solution

The fourth proportional to 462.44, 693.78 and 137.81 is: 206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.44 : 693.78 = 137.81 : x
  2. Step 2: Convert to fraction form
    462.44/693.78 = 137.81/x
  3. Step 3: Cross multiply
    462.44x = 693.78 × 137.81
  4. Step 4: Simplify right side
    462.44x = 95,609.82
  5. Step 5: Solve for x
    x = 95,609.82/462.44
  6. Step 6: Final answer
    x = 206.75

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