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Finding the Fourth Proportional to 300.56, 450.28 and 242.48

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Solution

The fourth proportional to 300.56, 450.28 and 242.48 is: 363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 450.28 = 242.48 : x
  2. Step 2: Convert to fraction form
    300.56/450.28 = 242.48/x
  3. Step 3: Cross multiply
    300.56x = 450.28 × 242.48
  4. Step 4: Simplify right side
    300.56x = 109,183.89
  5. Step 5: Solve for x
    x = 109,183.89/300.56
  6. Step 6: Final answer
    x = 363.27

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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.