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Finding the Fourth Proportional to 280.29, 419.97 and 177.32

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Solution

The fourth proportional to 280.29, 419.97 and 177.32 is: 265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.29 : 419.97 = 177.32 : x
  2. Step 2: Convert to fraction form
    280.29/419.97 = 177.32/x
  3. Step 3: Cross multiply
    280.29x = 419.97 × 177.32
  4. Step 4: Simplify right side
    280.29x = 74,469.08
  5. Step 5: Solve for x
    x = 74,469.08/280.29
  6. Step 6: Final answer
    x = 265.69

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