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Finding the Fourth Proportional to 416.23, 624.40 and 138.65

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Solution

The fourth proportional to 416.23, 624.40 and 138.65 is: 207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.23 : 624.40 = 138.65 : x
  2. Step 2: Convert to fraction form
    416.23/624.40 = 138.65/x
  3. Step 3: Cross multiply
    416.23x = 624.40 × 138.65
  4. Step 4: Simplify right side
    416.23x = 86,569.59
  5. Step 5: Solve for x
    x = 86,569.59/416.23
  6. Step 6: Final answer
    x = 207.99

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