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Finding the Fourth Proportional to 268.08, 401.80 and 123.60

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Solution

The fourth proportional to 268.08, 401.80 and 123.60 is: 185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.08 : 401.80 = 123.60 : x
  2. Step 2: Convert to fraction form
    268.08/401.80 = 123.60/x
  3. Step 3: Cross multiply
    268.08x = 401.80 × 123.60
  4. Step 4: Simplify right side
    268.08x = 49,662.48
  5. Step 5: Solve for x
    x = 49,662.48/268.08
  6. Step 6: Final answer
    x = 185.25

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