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Finding the Fourth Proportional to 299.12, 449.04 and 191.12

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Solution

The fourth proportional to 299.12, 449.04 and 191.12 is: 286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.12 : 449.04 = 191.12 : x
  2. Step 2: Convert to fraction form
    299.12/449.04 = 191.12/x
  3. Step 3: Cross multiply
    299.12x = 449.04 × 191.12
  4. Step 4: Simplify right side
    299.12x = 85,820.52
  5. Step 5: Solve for x
    x = 85,820.52/299.12
  6. Step 6: Final answer
    x = 286.91

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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.