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Finding the Fourth Proportional to 297.44, 410.47 and 166.46

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Solution

The fourth proportional to 297.44, 410.47 and 166.46 is: 229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.44 : 410.47 = 166.46 : x
  2. Step 2: Convert to fraction form
    297.44/410.47 = 166.46/x
  3. Step 3: Cross multiply
    297.44x = 410.47 × 166.46
  4. Step 4: Simplify right side
    297.44x = 68,324.37
  5. Step 5: Solve for x
    x = 68,324.37/297.44
  6. Step 6: Final answer
    x = 229.71

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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.