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Finding the Fourth Proportional to 384, 576 and 188.94

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Solution

The fourth proportional to 384, 576 and 188.94 is: 283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 576 = 188.94 : x
  2. Step 2: Convert to fraction form
    384/576 = 188.94/x
  3. Step 3: Cross multiply
    384x = 576 × 188.94
  4. Step 4: Simplify right side
    384x = 108,829.44
  5. Step 5: Solve for x
    x = 108,829.44/384
  6. Step 6: Final answer
    x = 283.41

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