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Finding the Fourth Proportional to 331.55, 497.41 and 199.92

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Solution

The fourth proportional to 331.55, 497.41 and 199.92 is: 299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.55 : 497.41 = 199.92 : x
  2. Step 2: Convert to fraction form
    331.55/497.41 = 199.92/x
  3. Step 3: Cross multiply
    331.55x = 497.41 × 199.92
  4. Step 4: Simplify right side
    331.55x = 99,443.30
  5. Step 5: Solve for x
    x = 99,443.30/331.55
  6. Step 6: Final answer
    x = 299.94

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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.