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Finding the Fourth Proportional to 496.03, 743.52 and 166.72

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Solution

The fourth proportional to 496.03, 743.52 and 166.72 is: 249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.03 : 743.52 = 166.72 : x
  2. Step 2: Convert to fraction form
    496.03/743.52 = 166.72/x
  3. Step 3: Cross multiply
    496.03x = 743.52 × 166.72
  4. Step 4: Simplify right side
    496.03x = 123,960.07
  5. Step 5: Solve for x
    x = 123,960.07/496.03
  6. Step 6: Final answer
    x = 249.91

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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.