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Finding the Fourth Proportional to 188.28, 282.74 and 164.44

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Solution

The fourth proportional to 188.28, 282.74 and 164.44 is: 246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.28 : 282.74 = 164.44 : x
  2. Step 2: Convert to fraction form
    188.28/282.74 = 164.44/x
  3. Step 3: Cross multiply
    188.28x = 282.74 × 164.44
  4. Step 4: Simplify right side
    188.28x = 46,493.77
  5. Step 5: Solve for x
    x = 46,493.77/188.28
  6. Step 6: Final answer
    x = 246.94

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