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Finding the Fourth Proportional to 537.91, 806.98 and 172.96

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Solution

The fourth proportional to 537.91, 806.98 and 172.96 is: 259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.91 : 806.98 = 172.96 : x
  2. Step 2: Convert to fraction form
    537.91/806.98 = 172.96/x
  3. Step 3: Cross multiply
    537.91x = 806.98 × 172.96
  4. Step 4: Simplify right side
    537.91x = 139,571.23
  5. Step 5: Solve for x
    x = 139,571.23/537.91
  6. Step 6: Final answer
    x = 259.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.