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Finding the Fourth Proportional to 280.24, 419.80 and 183.76

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Solution

The fourth proportional to 280.24, 419.80 and 183.76 is: 275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.24 : 419.80 = 183.76 : x
  2. Step 2: Convert to fraction form
    280.24/419.80 = 183.76/x
  3. Step 3: Cross multiply
    280.24x = 419.80 × 183.76
  4. Step 4: Simplify right side
    280.24x = 77,142.45
  5. Step 5: Solve for x
    x = 77,142.45/280.24
  6. Step 6: Final answer
    x = 275.27

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