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Finding the Fourth Proportional to 296.11, 443.76 and 165.97

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Solution

The fourth proportional to 296.11, 443.76 and 165.97 is: 248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.11 : 443.76 = 165.97 : x
  2. Step 2: Convert to fraction form
    296.11/443.76 = 165.97/x
  3. Step 3: Cross multiply
    296.11x = 443.76 × 165.97
  4. Step 4: Simplify right side
    296.11x = 73,650.85
  5. Step 5: Solve for x
    x = 73,650.85/296.11
  6. Step 6: Final answer
    x = 248.73

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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.