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Finding the Fourth Proportional to 280.81, 421.19 and 177.79

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Solution

The fourth proportional to 280.81, 421.19 and 177.79 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.81 : 421.19 = 177.79 : x
  2. Step 2: Convert to fraction form
    280.81/421.19 = 177.79/x
  3. Step 3: Cross multiply
    280.81x = 421.19 × 177.79
  4. Step 4: Simplify right side
    280.81x = 74,883.37
  5. Step 5: Solve for x
    x = 74,883.37/280.81
  6. Step 6: Final answer
    x = 266.67

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