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Finding the Fourth Proportional to 296.73, 445.10 and 214.55

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Solution

The fourth proportional to 296.73, 445.10 and 214.55 is: 321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.73 : 445.10 = 214.55 : x
  2. Step 2: Convert to fraction form
    296.73/445.10 = 214.55/x
  3. Step 3: Cross multiply
    296.73x = 445.10 × 214.55
  4. Step 4: Simplify right side
    296.73x = 95,496.21
  5. Step 5: Solve for x
    x = 95,496.21/296.73
  6. Step 6: Final answer
    x = 321.83

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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.