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Finding the Fourth Proportional to 185.04, 277.89 and 138.78

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Solution

The fourth proportional to 185.04, 277.89 and 138.78 is: 208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.04 : 277.89 = 138.78 : x
  2. Step 2: Convert to fraction form
    185.04/277.89 = 138.78/x
  3. Step 3: Cross multiply
    185.04x = 277.89 × 138.78
  4. Step 4: Simplify right side
    185.04x = 38,565.57
  5. Step 5: Solve for x
    x = 38,565.57/185.04
  6. Step 6: Final answer
    x = 208.42

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