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Finding the Fourth Proportional to 299.56, 449.35 and 242.12

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Solution

The fourth proportional to 299.56, 449.35 and 242.12 is: 363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.56 : 449.35 = 242.12 : x
  2. Step 2: Convert to fraction form
    299.56/449.35 = 242.12/x
  3. Step 3: Cross multiply
    299.56x = 449.35 × 242.12
  4. Step 4: Simplify right side
    299.56x = 108,796.62
  5. Step 5: Solve for x
    x = 108,796.62/299.56
  6. Step 6: Final answer
    x = 363.19

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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.