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Finding the Fourth Proportional to 234.22, 349.63 and 214.96

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Solution

The fourth proportional to 234.22, 349.63 and 214.96 is: 320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.22 : 349.63 = 214.96 : x
  2. Step 2: Convert to fraction form
    234.22/349.63 = 214.96/x
  3. Step 3: Cross multiply
    234.22x = 349.63 × 214.96
  4. Step 4: Simplify right side
    234.22x = 75,156.46
  5. Step 5: Solve for x
    x = 75,156.46/234.22
  6. Step 6: Final answer
    x = 320.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.