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Finding the Fourth Proportional to 146.88, 220.40 and 78.48

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Solution

The fourth proportional to 146.88, 220.40 and 78.48 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.88 : 220.40 = 78.48 : x
  2. Step 2: Convert to fraction form
    146.88/220.40 = 78.48/x
  3. Step 3: Cross multiply
    146.88x = 220.40 × 78.48
  4. Step 4: Simplify right side
    146.88x = 17,296.99
  5. Step 5: Solve for x
    x = 17,296.99/146.88
  6. Step 6: Final answer
    x = 117.76

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