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Finding the Fourth Proportional to 296.09, 443.61 and 165.94

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Solution

The fourth proportional to 296.09, 443.61 and 165.94 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.09 : 443.61 = 165.94 : x
  2. Step 2: Convert to fraction form
    296.09/443.61 = 165.94/x
  3. Step 3: Cross multiply
    296.09x = 443.61 × 165.94
  4. Step 4: Simplify right side
    296.09x = 73,613.20
  5. Step 5: Solve for x
    x = 73,613.20/296.09
  6. Step 6: Final answer
    x = 248.62

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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.