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Finding the Fourth Proportional to 280.56, 420.71 and 97.91

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Solution

The fourth proportional to 280.56, 420.71 and 97.91 is: 146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.56 : 420.71 = 97.91 : x
  2. Step 2: Convert to fraction form
    280.56/420.71 = 97.91/x
  3. Step 3: Cross multiply
    280.56x = 420.71 × 97.91
  4. Step 4: Simplify right side
    280.56x = 41,189.12
  5. Step 5: Solve for x
    x = 41,189.12/280.56
  6. Step 6: Final answer
    x = 146.81

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