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Finding the Fourth Proportional to 281.56, 420.96 and 226.76

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Solution

The fourth proportional to 281.56, 420.96 and 226.76 is: 339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.56 : 420.96 = 226.76 : x
  2. Step 2: Convert to fraction form
    281.56/420.96 = 226.76/x
  3. Step 3: Cross multiply
    281.56x = 420.96 × 226.76
  4. Step 4: Simplify right side
    281.56x = 95,456.89
  5. Step 5: Solve for x
    x = 95,456.89/281.56
  6. Step 6: Final answer
    x = 339.03

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Why These Related Problems?

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