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Finding the Fourth Proportional to 199.96, 299.38 and 122.80

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Solution

The fourth proportional to 199.96, 299.38 and 122.80 is: 183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.96 : 299.38 = 122.80 : x
  2. Step 2: Convert to fraction form
    199.96/299.38 = 122.80/x
  3. Step 3: Cross multiply
    199.96x = 299.38 × 122.80
  4. Step 4: Simplify right side
    199.96x = 36,763.86
  5. Step 5: Solve for x
    x = 36,763.86/199.96
  6. Step 6: Final answer
    x = 183.86

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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.