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Finding the Fourth Proportional to 537.61, 806.38 and 172.66

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Solution

The fourth proportional to 537.61, 806.38 and 172.66 is: 258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.61 : 806.38 = 172.66 : x
  2. Step 2: Convert to fraction form
    537.61/806.38 = 172.66/x
  3. Step 3: Cross multiply
    537.61x = 806.38 × 172.66
  4. Step 4: Simplify right side
    537.61x = 139,229.57
  5. Step 5: Solve for x
    x = 139,229.57/537.61
  6. Step 6: Final answer
    x = 258.98

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