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Finding the Fourth Proportional to 223.29, 335.34 and 213.03

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Solution

The fourth proportional to 223.29, 335.34 and 213.03 is: 319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.29 : 335.34 = 213.03 : x
  2. Step 2: Convert to fraction form
    223.29/335.34 = 213.03/x
  3. Step 3: Cross multiply
    223.29x = 335.34 × 213.03
  4. Step 4: Simplify right side
    223.29x = 71,437.48
  5. Step 5: Solve for x
    x = 71,437.48/223.29
  6. Step 6: Final answer
    x = 319.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.