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Finding the Fourth Proportional to 265.21, 396.92 and 199.80

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Solution

The fourth proportional to 265.21, 396.92 and 199.80 is: 299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.21 : 396.92 = 199.80 : x
  2. Step 2: Convert to fraction form
    265.21/396.92 = 199.80/x
  3. Step 3: Cross multiply
    265.21x = 396.92 × 199.80
  4. Step 4: Simplify right side
    265.21x = 79,305.12
  5. Step 5: Solve for x
    x = 79,305.12/265.21
  6. Step 6: Final answer
    x = 299.03

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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.