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Finding the Fourth Proportional to 188.81, 260.57 and 105.92

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Solution

The fourth proportional to 188.81, 260.57 and 105.92 is: 146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.81 : 260.57 = 105.92 : x
  2. Step 2: Convert to fraction form
    188.81/260.57 = 105.92/x
  3. Step 3: Cross multiply
    188.81x = 260.57 × 105.92
  4. Step 4: Simplify right side
    188.81x = 27,599.28
  5. Step 5: Solve for x
    x = 27,599.28/188.81
  6. Step 6: Final answer
    x = 146.18

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