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Finding the Fourth Proportional to 278.61, 416.99 and 181.20

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Solution

The fourth proportional to 278.61, 416.99 and 181.20 is: 271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.61 : 416.99 = 181.20 : x
  2. Step 2: Convert to fraction form
    278.61/416.99 = 181.20/x
  3. Step 3: Cross multiply
    278.61x = 416.99 × 181.20
  4. Step 4: Simplify right side
    278.61x = 75,557.68
  5. Step 5: Solve for x
    x = 75,557.68/278.61
  6. Step 6: Final answer
    x = 271.20

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