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Finding the Fourth Proportional to 185.82, 278.88 and 77.68

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Solution

The fourth proportional to 185.82, 278.88 and 77.68 is: 116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 278.88 = 77.68 : x
  2. Step 2: Convert to fraction form
    185.82/278.88 = 77.68/x
  3. Step 3: Cross multiply
    185.82x = 278.88 × 77.68
  4. Step 4: Simplify right side
    185.82x = 21,663.40
  5. Step 5: Solve for x
    x = 21,663.40/185.82
  6. Step 6: Final answer
    x = 116.58

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