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Finding the Fourth Proportional to 199.67, 299.23 and 83.98

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Solution

The fourth proportional to 199.67, 299.23 and 83.98 is: 125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.67 : 299.23 = 83.98 : x
  2. Step 2: Convert to fraction form
    199.67/299.23 = 83.98/x
  3. Step 3: Cross multiply
    199.67x = 299.23 × 83.98
  4. Step 4: Simplify right side
    199.67x = 25,129.34
  5. Step 5: Solve for x
    x = 25,129.34/199.67
  6. Step 6: Final answer
    x = 125.85

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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.