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Finding the Fourth Proportional to 213.64, 320.32 and 110.95

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Solution

The fourth proportional to 213.64, 320.32 and 110.95 is: 166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.64 : 320.32 = 110.95 : x
  2. Step 2: Convert to fraction form
    213.64/320.32 = 110.95/x
  3. Step 3: Cross multiply
    213.64x = 320.32 × 110.95
  4. Step 4: Simplify right side
    213.64x = 35,540.64
  5. Step 5: Solve for x
    x = 35,540.64/213.64
  6. Step 6: Final answer
    x = 166.36

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