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Finding the Fourth Proportional to 297.19, 410.13 and 166.20

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Solution

The fourth proportional to 297.19, 410.13 and 166.20 is: 229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.19 : 410.13 = 166.20 : x
  2. Step 2: Convert to fraction form
    297.19/410.13 = 166.20/x
  3. Step 3: Cross multiply
    297.19x = 410.13 × 166.20
  4. Step 4: Simplify right side
    297.19x = 68,163.61
  5. Step 5: Solve for x
    x = 68,163.61/297.19
  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.