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Finding the Fourth Proportional to 297.72, 410.85 and 166.73

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Solution

The fourth proportional to 297.72, 410.85 and 166.73 is: 230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 410.85 = 166.73 : x
  2. Step 2: Convert to fraction form
    297.72/410.85 = 166.73/x
  3. Step 3: Cross multiply
    297.72x = 410.85 × 166.73
  4. Step 4: Simplify right side
    297.72x = 68,498.97
  5. Step 5: Solve for x
    x = 68,498.97/297.72
  6. Step 6: Final answer
    x = 230.08

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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.