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Finding the Fourth Proportional to 296.55, 443.78 and 204.96

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Solution

The fourth proportional to 296.55, 443.78 and 204.96 is: 306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.55 : 443.78 = 204.96 : x
  2. Step 2: Convert to fraction form
    296.55/443.78 = 204.96/x
  3. Step 3: Cross multiply
    296.55x = 443.78 × 204.96
  4. Step 4: Simplify right side
    296.55x = 90,956.12
  5. Step 5: Solve for x
    x = 90,956.12/296.55
  6. Step 6: Final answer
    x = 306.71

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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.