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Finding the Fourth Proportional to 188.92, 282.97 and 116.56

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Solution

The fourth proportional to 188.92, 282.97 and 116.56 is: 174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.92 : 282.97 = 116.56 : x
  2. Step 2: Convert to fraction form
    188.92/282.97 = 116.56/x
  3. Step 3: Cross multiply
    188.92x = 282.97 × 116.56
  4. Step 4: Simplify right side
    188.92x = 32,982.98
  5. Step 5: Solve for x
    x = 32,982.98/188.92
  6. Step 6: Final answer
    x = 174.59

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