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Finding the Fourth Proportional to 297.80, 410.96 and 165.02

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Solution

The fourth proportional to 297.80, 410.96 and 165.02 is: 227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.80 : 410.96 = 165.02 : x
  2. Step 2: Convert to fraction form
    297.80/410.96 = 165.02/x
  3. Step 3: Cross multiply
    297.80x = 410.96 × 165.02
  4. Step 4: Simplify right side
    297.80x = 67,816.62
  5. Step 5: Solve for x
    x = 67,816.62/297.80
  6. Step 6: Final answer
    x = 227.73

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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.