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Finding the Fourth Proportional to 537.94, 806.96 and 172.64

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Solution

The fourth proportional to 537.94, 806.96 and 172.64 is: 258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.94 : 806.96 = 172.64 : x
  2. Step 2: Convert to fraction form
    537.94/806.96 = 172.64/x
  3. Step 3: Cross multiply
    537.94x = 806.96 × 172.64
  4. Step 4: Simplify right side
    537.94x = 139,313.57
  5. Step 5: Solve for x
    x = 139,313.57/537.94
  6. Step 6: Final answer
    x = 258.98

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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.