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Finding the Fourth Proportional to 189.24, 283.93 and 97.86

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Solution

The fourth proportional to 189.24, 283.93 and 97.86 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.24 : 283.93 = 97.86 : x
  2. Step 2: Convert to fraction form
    189.24/283.93 = 97.86/x
  3. Step 3: Cross multiply
    189.24x = 283.93 × 97.86
  4. Step 4: Simplify right side
    189.24x = 27,785.39
  5. Step 5: Solve for x
    x = 27,785.39/189.24
  6. Step 6: Final answer
    x = 146.83

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