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Finding the Fourth Proportional to 223.38, 335.20 and 142.26

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Solution

The fourth proportional to 223.38, 335.20 and 142.26 is: 213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.38 : 335.20 = 142.26 : x
  2. Step 2: Convert to fraction form
    223.38/335.20 = 142.26/x
  3. Step 3: Cross multiply
    223.38x = 335.20 × 142.26
  4. Step 4: Simplify right side
    223.38x = 47,685.55
  5. Step 5: Solve for x
    x = 47,685.55/223.38
  6. Step 6: Final answer
    x = 213.47

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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.