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Finding the Fourth Proportional to 296.66, 444.71 and 166.73

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Solution

The fourth proportional to 296.66, 444.71 and 166.73 is: 249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.66 : 444.71 = 166.73 : x
  2. Step 2: Convert to fraction form
    296.66/444.71 = 166.73/x
  3. Step 3: Cross multiply
    296.66x = 444.71 × 166.73
  4. Step 4: Simplify right side
    296.66x = 74,143.44
  5. Step 5: Solve for x
    x = 74,143.44/296.66
  6. Step 6: Final answer
    x = 249.93

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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.