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Finding the Fourth Proportional to 287.78, 431.63 and 92.80

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Solution

The fourth proportional to 287.78, 431.63 and 92.80 is: 139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.78 : 431.63 = 92.80 : x
  2. Step 2: Convert to fraction form
    287.78/431.63 = 92.80/x
  3. Step 3: Cross multiply
    287.78x = 431.63 × 92.80
  4. Step 4: Simplify right side
    287.78x = 40,054.47
  5. Step 5: Solve for x
    x = 40,054.47/287.78
  6. Step 6: Final answer
    x = 139.19

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