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Finding the Fourth Proportional to 259.81, 389.85 and 138.04

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Solution

The fourth proportional to 259.81, 389.85 and 138.04 is: 207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.81 : 389.85 = 138.04 : x
  2. Step 2: Convert to fraction form
    259.81/389.85 = 138.04/x
  3. Step 3: Cross multiply
    259.81x = 389.85 × 138.04
  4. Step 4: Simplify right side
    259.81x = 53,814.89
  5. Step 5: Solve for x
    x = 53,814.89/259.81
  6. Step 6: Final answer
    x = 207.13

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