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Finding the Fourth Proportional to 801.68, 1,202.36 and 224.56

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Solution

The fourth proportional to 801.68, 1,202.36 and 224.56 is: 336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.68 : 1,202.36 = 224.56 : x
  2. Step 2: Convert to fraction form
    801.68/1,202.36 = 224.56/x
  3. Step 3: Cross multiply
    801.68x = 1,202.36 × 224.56
  4. Step 4: Simplify right side
    801.68x = 270,001.96
  5. Step 5: Solve for x
    x = 270,001.96/801.68
  6. Step 6: Final answer
    x = 336.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.