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Finding the Fourth Proportional to 632.67, 949.17 and 199.83

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Solution

The fourth proportional to 632.67, 949.17 and 199.83 is: 299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.67 : 949.17 = 199.83 : x
  2. Step 2: Convert to fraction form
    632.67/949.17 = 199.83/x
  3. Step 3: Cross multiply
    632.67x = 949.17 × 199.83
  4. Step 4: Simplify right side
    632.67x = 189,672.64
  5. Step 5: Solve for x
    x = 189,672.64/632.67
  6. Step 6: Final answer
    x = 299.80

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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.