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Finding the Fourth Proportional to 288.27, 397.94 and 225.99

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Solution

The fourth proportional to 288.27, 397.94 and 225.99 is: 311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.27 : 397.94 = 225.99 : x
  2. Step 2: Convert to fraction form
    288.27/397.94 = 225.99/x
  3. Step 3: Cross multiply
    288.27x = 397.94 × 225.99
  4. Step 4: Simplify right side
    288.27x = 89,930.46
  5. Step 5: Solve for x
    x = 89,930.46/288.27
  6. Step 6: Final answer
    x = 311.97

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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.