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Finding the Fourth Proportional to 259.86, 388.96 and 137.94

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Solution

The fourth proportional to 259.86, 388.96 and 137.94 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.86 : 388.96 = 137.94 : x
  2. Step 2: Convert to fraction form
    259.86/388.96 = 137.94/x
  3. Step 3: Cross multiply
    259.86x = 388.96 × 137.94
  4. Step 4: Simplify right side
    259.86x = 53,653.14
  5. Step 5: Solve for x
    x = 53,653.14/259.86
  6. Step 6: Final answer
    x = 206.47

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