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Finding the Fourth Proportional to 223.73, 337.24 and 214.46

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Solution

The fourth proportional to 223.73, 337.24 and 214.46 is: 323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.73 : 337.24 = 214.46 : x
  2. Step 2: Convert to fraction form
    223.73/337.24 = 214.46/x
  3. Step 3: Cross multiply
    223.73x = 337.24 × 214.46
  4. Step 4: Simplify right side
    223.73x = 72,324.49
  5. Step 5: Solve for x
    x = 72,324.49/223.73
  6. Step 6: Final answer
    x = 323.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.