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Finding the Fourth Proportional to 297.06, 409.92 and 166.05

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Solution

The fourth proportional to 297.06, 409.92 and 166.05 is: 229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.06 : 409.92 = 166.05 : x
  2. Step 2: Convert to fraction form
    297.06/409.92 = 166.05/x
  3. Step 3: Cross multiply
    297.06x = 409.92 × 166.05
  4. Step 4: Simplify right side
    297.06x = 68,067.22
  5. Step 5: Solve for x
    x = 68,067.22/297.06
  6. Step 6: Final answer
    x = 229.14

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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.