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Finding the Fourth Proportional to 280.97, 387.77 and 182.93

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Solution

The fourth proportional to 280.97, 387.77 and 182.93 is: 252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 387.77 = 182.93 : x
  2. Step 2: Convert to fraction form
    280.97/387.77 = 182.93/x
  3. Step 3: Cross multiply
    280.97x = 387.77 × 182.93
  4. Step 4: Simplify right side
    280.97x = 70,936.99
  5. Step 5: Solve for x
    x = 70,936.99/280.97
  6. Step 6: Final answer
    x = 252.47

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