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Finding the Fourth Proportional to 281.94, 423.22 and 224.54

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Solution

The fourth proportional to 281.94, 423.22 and 224.54 is: 337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.94 : 423.22 = 224.54 : x
  2. Step 2: Convert to fraction form
    281.94/423.22 = 224.54/x
  3. Step 3: Cross multiply
    281.94x = 423.22 × 224.54
  4. Step 4: Simplify right side
    281.94x = 95,029.82
  5. Step 5: Solve for x
    x = 95,029.82/281.94
  6. Step 6: Final answer
    x = 337.06

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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.