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Finding the Fourth Proportional to 214.62, 321.67 and 127.99

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Solution

The fourth proportional to 214.62, 321.67 and 127.99 is: 191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.62 : 321.67 = 127.99 : x
  2. Step 2: Convert to fraction form
    214.62/321.67 = 127.99/x
  3. Step 3: Cross multiply
    214.62x = 321.67 × 127.99
  4. Step 4: Simplify right side
    214.62x = 41,170.54
  5. Step 5: Solve for x
    x = 41,170.54/214.62
  6. Step 6: Final answer
    x = 191.83

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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.