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Finding the Fourth Proportional to 297, 409.84 and 164.21

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Solution

The fourth proportional to 297, 409.84 and 164.21 is: 226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 409.84 = 164.21 : x
  2. Step 2: Convert to fraction form
    297/409.84 = 164.21/x
  3. Step 3: Cross multiply
    297x = 409.84 × 164.21
  4. Step 4: Simplify right side
    297x = 67,297.37
  5. Step 5: Solve for x
    x = 67,297.37/297
  6. Step 6: Final answer
    x = 226.59

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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.