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Finding the Fourth Proportional to 537.44, 806.08 and 172.16

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Solution

The fourth proportional to 537.44, 806.08 and 172.16 is: 258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.44 : 806.08 = 172.16 : x
  2. Step 2: Convert to fraction form
    537.44/806.08 = 172.16/x
  3. Step 3: Cross multiply
    537.44x = 806.08 × 172.16
  4. Step 4: Simplify right side
    537.44x = 138,774.73
  5. Step 5: Solve for x
    x = 138,774.73/537.44
  6. Step 6: Final answer
    x = 258.21

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