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Finding the Fourth Proportional to 185.20, 277.80 and 56.92

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Solution

The fourth proportional to 185.20, 277.80 and 56.92 is: 85.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.20 : 277.80 = 56.92 : x
  2. Step 2: Convert to fraction form
    185.20/277.80 = 56.92/x
  3. Step 3: Cross multiply
    185.20x = 277.80 × 56.92
  4. Step 4: Simplify right side
    185.20x = 15,812.38
  5. Step 5: Solve for x
    x = 15,812.38/185.20
  6. Step 6: Final answer
    x = 85.38

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