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Finding the Fourth Proportional to 242.96, 363.94 and 226.08

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Solution

The fourth proportional to 242.96, 363.94 and 226.08 is: 338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.96 : 363.94 = 226.08 : x
  2. Step 2: Convert to fraction form
    242.96/363.94 = 226.08/x
  3. Step 3: Cross multiply
    242.96x = 363.94 × 226.08
  4. Step 4: Simplify right side
    242.96x = 82,279.56
  5. Step 5: Solve for x
    x = 82,279.56/242.96
  6. Step 6: Final answer
    x = 338.65

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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.