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Finding the Fourth Proportional to 304.11, 455.49 and 166.82

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Solution

The fourth proportional to 304.11, 455.49 and 166.82 is: 249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.11 : 455.49 = 166.82 : x
  2. Step 2: Convert to fraction form
    304.11/455.49 = 166.82/x
  3. Step 3: Cross multiply
    304.11x = 455.49 × 166.82
  4. Step 4: Simplify right side
    304.11x = 75,982.56
  5. Step 5: Solve for x
    x = 75,982.56/304.11
  6. Step 6: Final answer
    x = 249.85

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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.