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Finding the Fourth Proportional to 187.37, 280.86 and 77.76

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Solution

The fourth proportional to 187.37, 280.86 and 77.76 is: 116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.37 : 280.86 = 77.76 : x
  2. Step 2: Convert to fraction form
    187.37/280.86 = 77.76/x
  3. Step 3: Cross multiply
    187.37x = 280.86 × 77.76
  4. Step 4: Simplify right side
    187.37x = 21,839.67
  5. Step 5: Solve for x
    x = 21,839.67/187.37
  6. Step 6: Final answer
    x = 116.56

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