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Finding the Fourth Proportional to 321.24, 443.16 and 214.92

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Solution

The fourth proportional to 321.24, 443.16 and 214.92 is: 296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.24 : 443.16 = 214.92 : x
  2. Step 2: Convert to fraction form
    321.24/443.16 = 214.92/x
  3. Step 3: Cross multiply
    321.24x = 443.16 × 214.92
  4. Step 4: Simplify right side
    321.24x = 95,243.95
  5. Step 5: Solve for x
    x = 95,243.95/321.24
  6. Step 6: Final answer
    x = 296.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.