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Finding the Fourth Proportional to 344.96, 475.85 and 226.96

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Solution

The fourth proportional to 344.96, 475.85 and 226.96 is: 313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.96 : 475.85 = 226.96 : x
  2. Step 2: Convert to fraction form
    344.96/475.85 = 226.96/x
  3. Step 3: Cross multiply
    344.96x = 475.85 × 226.96
  4. Step 4: Simplify right side
    344.96x = 107,996.54
  5. Step 5: Solve for x
    x = 107,996.54/344.96
  6. Step 6: Final answer
    x = 313.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.