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Finding the Fourth Proportional to 351.14, 484.20 and 226.80

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Solution

The fourth proportional to 351.14, 484.20 and 226.80 is: 312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.14 : 484.20 = 226.80 : x
  2. Step 2: Convert to fraction form
    351.14/484.20 = 226.80/x
  3. Step 3: Cross multiply
    351.14x = 484.20 × 226.80
  4. Step 4: Simplify right side
    351.14x = 109,816.56
  5. Step 5: Solve for x
    x = 109,816.56/351.14
  6. Step 6: Final answer
    x = 312.75

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