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Finding the Fourth Proportional to 280.87, 421.26 and 177.84

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Solution

The fourth proportional to 280.87, 421.26 and 177.84 is: 266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.87 : 421.26 = 177.84 : x
  2. Step 2: Convert to fraction form
    280.87/421.26 = 177.84/x
  3. Step 3: Cross multiply
    280.87x = 421.26 × 177.84
  4. Step 4: Simplify right side
    280.87x = 74,916.88
  5. Step 5: Solve for x
    x = 74,916.88/280.87
  6. Step 6: Final answer
    x = 266.73

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