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Finding the Fourth Proportional to 296.10, 443.97 and 166.03

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Solution

The fourth proportional to 296.10, 443.97 and 166.03 is: 248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.10 : 443.97 = 166.03 : x
  2. Step 2: Convert to fraction form
    296.10/443.97 = 166.03/x
  3. Step 3: Cross multiply
    296.10x = 443.97 × 166.03
  4. Step 4: Simplify right side
    296.10x = 73,711.23
  5. Step 5: Solve for x
    x = 73,711.23/296.10
  6. Step 6: Final answer
    x = 248.94

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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.