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Finding the Fourth Proportional to 278.43, 417.99 and 180.62

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Solution

The fourth proportional to 278.43, 417.99 and 180.62 is: 271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.43 : 417.99 = 180.62 : x
  2. Step 2: Convert to fraction form
    278.43/417.99 = 180.62/x
  3. Step 3: Cross multiply
    278.43x = 417.99 × 180.62
  4. Step 4: Simplify right side
    278.43x = 75,495.26
  5. Step 5: Solve for x
    x = 75,495.26/278.43
  6. Step 6: Final answer
    x = 271.15

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