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Finding the Fourth Proportional to 632.75, 949.12 and 199.91

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Solution

The fourth proportional to 632.75, 949.12 and 199.91 is: 299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.75 : 949.12 = 199.91 : x
  2. Step 2: Convert to fraction form
    632.75/949.12 = 199.91/x
  3. Step 3: Cross multiply
    632.75x = 949.12 × 199.91
  4. Step 4: Simplify right side
    632.75x = 189,738.58
  5. Step 5: Solve for x
    x = 189,738.58/632.75
  6. Step 6: Final answer
    x = 299.86

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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.