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Finding the Fourth Proportional to 259.86, 389.99 and 138.18

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Solution

The fourth proportional to 259.86, 389.99 and 138.18 is: 207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.86 : 389.99 = 138.18 : x
  2. Step 2: Convert to fraction form
    259.86/389.99 = 138.18/x
  3. Step 3: Cross multiply
    259.86x = 389.99 × 138.18
  4. Step 4: Simplify right side
    259.86x = 53,888.13
  5. Step 5: Solve for x
    x = 53,888.13/259.86
  6. Step 6: Final answer
    x = 207.37

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