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Finding the Fourth Proportional to 297.23, 410.19 and 166.23

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Solution

The fourth proportional to 297.23, 410.19 and 166.23 is: 229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.23 : 410.19 = 166.23 : x
  2. Step 2: Convert to fraction form
    297.23/410.19 = 166.23/x
  3. Step 3: Cross multiply
    297.23x = 410.19 × 166.23
  4. Step 4: Simplify right side
    297.23x = 68,185.88
  5. Step 5: Solve for x
    x = 68,185.88/297.23
  6. Step 6: Final answer
    x = 229.41

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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.