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Finding the Fourth Proportional to 297.03, 409.89 and 164.25

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Solution

The fourth proportional to 297.03, 409.89 and 164.25 is: 226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.03 : 409.89 = 164.25 : x
  2. Step 2: Convert to fraction form
    297.03/409.89 = 164.25/x
  3. Step 3: Cross multiply
    297.03x = 409.89 × 164.25
  4. Step 4: Simplify right side
    297.03x = 67,324.43
  5. Step 5: Solve for x
    x = 67,324.43/297.03
  6. Step 6: Final answer
    x = 226.66

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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.