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Finding the Fourth Proportional to 463.65, 695.27 and 138.96

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Solution

The fourth proportional to 463.65, 695.27 and 138.96 is: 208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.65 : 695.27 = 138.96 : x
  2. Step 2: Convert to fraction form
    463.65/695.27 = 138.96/x
  3. Step 3: Cross multiply
    463.65x = 695.27 × 138.96
  4. Step 4: Simplify right side
    463.65x = 96,611.24
  5. Step 5: Solve for x
    x = 96,611.24/463.65
  6. Step 6: Final answer
    x = 208.37

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