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Finding the Fourth Proportional to 297.14, 410.09 and 166.19

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Solution

The fourth proportional to 297.14, 410.09 and 166.19 is: 229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.14 : 410.09 = 166.19 : x
  2. Step 2: Convert to fraction form
    297.14/410.09 = 166.19/x
  3. Step 3: Cross multiply
    297.14x = 410.09 × 166.19
  4. Step 4: Simplify right side
    297.14x = 68,149.98
  5. Step 5: Solve for x
    x = 68,149.98/297.14
  6. Step 6: Final answer
    x = 229.36

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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.