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Finding the Fourth Proportional to 297.94, 411.17 and 166.96

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Solution

The fourth proportional to 297.94, 411.17 and 166.96 is: 230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.94 : 411.17 = 166.96 : x
  2. Step 2: Convert to fraction form
    297.94/411.17 = 166.96/x
  3. Step 3: Cross multiply
    297.94x = 411.17 × 166.96
  4. Step 4: Simplify right side
    297.94x = 68,648.33
  5. Step 5: Solve for x
    x = 68,648.33/297.94
  6. Step 6: Final answer
    x = 230.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.