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Finding the Fourth Proportional to 146.63, 220 and 78.16

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Solution

The fourth proportional to 146.63, 220 and 78.16 is: 117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.63 : 220 = 78.16 : x
  2. Step 2: Convert to fraction form
    146.63/220 = 78.16/x
  3. Step 3: Cross multiply
    146.63x = 220 × 78.16
  4. Step 4: Simplify right side
    146.63x = 17,195.20
  5. Step 5: Solve for x
    x = 17,195.20/146.63
  6. Step 6: Final answer
    x = 117.27

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