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Finding the Fourth Proportional to 296.05, 443.94 and 166

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Solution

The fourth proportional to 296.05, 443.94 and 166 is: 248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.05 : 443.94 = 166 : x
  2. Step 2: Convert to fraction form
    296.05/443.94 = 166/x
  3. Step 3: Cross multiply
    296.05x = 443.94 × 166
  4. Step 4: Simplify right side
    296.05x = 73,694.04
  5. Step 5: Solve for x
    x = 73,694.04/296.05
  6. Step 6: Final answer
    x = 248.92

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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.