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Finding the Fourth Proportional to 187.16, 280.46 and 105.83

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Solution

The fourth proportional to 187.16, 280.46 and 105.83 is: 158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.16 : 280.46 = 105.83 : x
  2. Step 2: Convert to fraction form
    187.16/280.46 = 105.83/x
  3. Step 3: Cross multiply
    187.16x = 280.46 × 105.83
  4. Step 4: Simplify right side
    187.16x = 29,681.00
  5. Step 5: Solve for x
    x = 29,681.00/187.16
  6. Step 6: Final answer
    x = 158.59

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