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Finding the Fourth Proportional to 297.68, 409.84 and 223.92

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Solution

The fourth proportional to 297.68, 409.84 and 223.92 is: 308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.68 : 409.84 = 223.92 : x
  2. Step 2: Convert to fraction form
    297.68/409.84 = 223.92/x
  3. Step 3: Cross multiply
    297.68x = 409.84 × 223.92
  4. Step 4: Simplify right side
    297.68x = 91,771.37
  5. Step 5: Solve for x
    x = 91,771.37/297.68
  6. Step 6: Final answer
    x = 308.29

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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.