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Finding the Fourth Proportional to 223.38, 334.70 and 214.84

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Solution

The fourth proportional to 223.38, 334.70 and 214.84 is: 321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.38 : 334.70 = 214.84 : x
  2. Step 2: Convert to fraction form
    223.38/334.70 = 214.84/x
  3. Step 3: Cross multiply
    223.38x = 334.70 × 214.84
  4. Step 4: Simplify right side
    223.38x = 71,906.89
  5. Step 5: Solve for x
    x = 71,906.89/223.38
  6. Step 6: Final answer
    x = 321.90

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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.