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Finding the Fourth Proportional to 278.02, 416.98 and 83.05

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Solution

The fourth proportional to 278.02, 416.98 and 83.05 is: 124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 416.98 = 83.05 : x
  2. Step 2: Convert to fraction form
    278.02/416.98 = 83.05/x
  3. Step 3: Cross multiply
    278.02x = 416.98 × 83.05
  4. Step 4: Simplify right side
    278.02x = 34,628.31
  5. Step 5: Solve for x
    x = 34,628.31/278.02
  6. Step 6: Final answer
    x = 124.56

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