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Finding the Fourth Proportional to 199.22, 298.22 and 173.09

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Solution

The fourth proportional to 199.22, 298.22 and 173.09 is: 259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.22 : 298.22 = 173.09 : x
  2. Step 2: Convert to fraction form
    199.22/298.22 = 173.09/x
  3. Step 3: Cross multiply
    199.22x = 298.22 × 173.09
  4. Step 4: Simplify right side
    199.22x = 51,618.78
  5. Step 5: Solve for x
    x = 51,618.78/199.22
  6. Step 6: Final answer
    x = 259.11

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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.