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Finding the Fourth Proportional to 297.10, 409.97 and 164.31

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Solution

The fourth proportional to 297.10, 409.97 and 164.31 is: 226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.10 : 409.97 = 164.31 : x
  2. Step 2: Convert to fraction form
    297.10/409.97 = 164.31/x
  3. Step 3: Cross multiply
    297.10x = 409.97 × 164.31
  4. Step 4: Simplify right side
    297.10x = 67,362.17
  5. Step 5: Solve for x
    x = 67,362.17/297.10
  6. Step 6: Final answer
    x = 226.73

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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.