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Finding the Fourth Proportional to 185.22, 277.65 and 77.09

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Solution

The fourth proportional to 185.22, 277.65 and 77.09 is: 115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.22 : 277.65 = 77.09 : x
  2. Step 2: Convert to fraction form
    185.22/277.65 = 77.09/x
  3. Step 3: Cross multiply
    185.22x = 277.65 × 77.09
  4. Step 4: Simplify right side
    185.22x = 21,402.65
  5. Step 5: Solve for x
    x = 21,402.65/185.22
  6. Step 6: Final answer
    x = 115.55

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