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Finding the Fourth Proportional to 384.08, 576.08 and 110.16

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Solution

The fourth proportional to 384.08, 576.08 and 110.16 is: 165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.08 : 576.08 = 110.16 : x
  2. Step 2: Convert to fraction form
    384.08/576.08 = 110.16/x
  3. Step 3: Cross multiply
    384.08x = 576.08 × 110.16
  4. Step 4: Simplify right side
    384.08x = 63,460.97
  5. Step 5: Solve for x
    x = 63,460.97/384.08
  6. Step 6: Final answer
    x = 165.23

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