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Finding the Fourth Proportional to 146.16, 218.88 and 109.80

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Solution

The fourth proportional to 146.16, 218.88 and 109.80 is: 164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 218.88 = 109.80 : x
  2. Step 2: Convert to fraction form
    146.16/218.88 = 109.80/x
  3. Step 3: Cross multiply
    146.16x = 218.88 × 109.80
  4. Step 4: Simplify right side
    146.16x = 24,033.02
  5. Step 5: Solve for x
    x = 24,033.02/146.16
  6. Step 6: Final answer
    x = 164.43

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