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Finding the Fourth Proportional to 297.09, 409.96 and 164.30

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Solution

The fourth proportional to 297.09, 409.96 and 164.30 is: 226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.09 : 409.96 = 164.30 : x
  2. Step 2: Convert to fraction form
    297.09/409.96 = 164.30/x
  3. Step 3: Cross multiply
    297.09x = 409.96 × 164.30
  4. Step 4: Simplify right side
    297.09x = 67,356.43
  5. Step 5: Solve for x
    x = 67,356.43/297.09
  6. Step 6: Final answer
    x = 226.72

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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.