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Finding the Fourth Proportional to 381.09, 571.84 and 198.64

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Solution

The fourth proportional to 381.09, 571.84 and 198.64 is: 298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.09 : 571.84 = 198.64 : x
  2. Step 2: Convert to fraction form
    381.09/571.84 = 198.64/x
  3. Step 3: Cross multiply
    381.09x = 571.84 × 198.64
  4. Step 4: Simplify right side
    381.09x = 113,590.30
  5. Step 5: Solve for x
    x = 113,590.30/381.09
  6. Step 6: Final answer
    x = 298.07

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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.