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Finding the Fourth Proportional to 199.50, 299.22 and 55.19

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Solution

The fourth proportional to 199.50, 299.22 and 55.19 is: 82.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 299.22 = 55.19 : x
  2. Step 2: Convert to fraction form
    199.50/299.22 = 55.19/x
  3. Step 3: Cross multiply
    199.50x = 299.22 × 55.19
  4. Step 4: Simplify right side
    199.50x = 16,513.95
  5. Step 5: Solve for x
    x = 16,513.95/199.50
  6. Step 6: Final answer
    x = 82.78

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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.