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Finding the Fourth Proportional to 351.15, 484.73 and 226.82

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Solution

The fourth proportional to 351.15, 484.73 and 226.82 is: 313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.15 : 484.73 = 226.82 : x
  2. Step 2: Convert to fraction form
    351.15/484.73 = 226.82/x
  3. Step 3: Cross multiply
    351.15x = 484.73 × 226.82
  4. Step 4: Simplify right side
    351.15x = 109,942.90
  5. Step 5: Solve for x
    x = 109,942.90/351.15
  6. Step 6: Final answer
    x = 313.09

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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.