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Finding the Fourth Proportional to 496.12, 743.76 and 199.66

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Solution

The fourth proportional to 496.12, 743.76 and 199.66 is: 299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.12 : 743.76 = 199.66 : x
  2. Step 2: Convert to fraction form
    496.12/743.76 = 199.66/x
  3. Step 3: Cross multiply
    496.12x = 743.76 × 199.66
  4. Step 4: Simplify right side
    496.12x = 148,499.12
  5. Step 5: Solve for x
    x = 148,499.12/496.12
  6. Step 6: Final answer
    x = 299.32

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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.