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Finding the Fourth Proportional to 299.68, 449.52 and 242.56

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Solution

The fourth proportional to 299.68, 449.52 and 242.56 is: 363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.68 : 449.52 = 242.56 : x
  2. Step 2: Convert to fraction form
    299.68/449.52 = 242.56/x
  3. Step 3: Cross multiply
    299.68x = 449.52 × 242.56
  4. Step 4: Simplify right side
    299.68x = 109,035.57
  5. Step 5: Solve for x
    x = 109,035.57/299.68
  6. Step 6: Final answer
    x = 363.84

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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.