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Finding the Fourth Proportional to 278.06, 416.46 and 232.16

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Solution

The fourth proportional to 278.06, 416.46 and 232.16 is: 347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 416.46 = 232.16 : x
  2. Step 2: Convert to fraction form
    278.06/416.46 = 232.16/x
  3. Step 3: Cross multiply
    278.06x = 416.46 × 232.16
  4. Step 4: Simplify right side
    278.06x = 96,685.35
  5. Step 5: Solve for x
    x = 96,685.35/278.06
  6. Step 6: Final answer
    x = 347.71

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