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Finding the Fourth Proportional to 279.97, 419.75 and 177.23

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Solution

The fourth proportional to 279.97, 419.75 and 177.23 is: 265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.97 : 419.75 = 177.23 : x
  2. Step 2: Convert to fraction form
    279.97/419.75 = 177.23/x
  3. Step 3: Cross multiply
    279.97x = 419.75 × 177.23
  4. Step 4: Simplify right side
    279.97x = 74,393.12
  5. Step 5: Solve for x
    x = 74,393.12/279.97
  6. Step 6: Final answer
    x = 265.72

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