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Finding the Fourth Proportional to 199.38, 298.26 and 122.34

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Solution

The fourth proportional to 199.38, 298.26 and 122.34 is: 183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.38 : 298.26 = 122.34 : x
  2. Step 2: Convert to fraction form
    199.38/298.26 = 122.34/x
  3. Step 3: Cross multiply
    199.38x = 298.26 × 122.34
  4. Step 4: Simplify right side
    199.38x = 36,489.13
  5. Step 5: Solve for x
    x = 36,489.13/199.38
  6. Step 6: Final answer
    x = 183.01

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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.