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Finding the Fourth Proportional to 278.75, 384.77 and 180.51

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Solution

The fourth proportional to 278.75, 384.77 and 180.51 is: 249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.75 : 384.77 = 180.51 : x
  2. Step 2: Convert to fraction form
    278.75/384.77 = 180.51/x
  3. Step 3: Cross multiply
    278.75x = 384.77 × 180.51
  4. Step 4: Simplify right side
    278.75x = 69,453.93
  5. Step 5: Solve for x
    x = 69,453.93/278.75
  6. Step 6: Final answer
    x = 249.17

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