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Finding the Fourth Proportional to 225.96, 311.22 and 208.65

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Solution

The fourth proportional to 225.96, 311.22 and 208.65 is: 287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.96 : 311.22 = 208.65 : x
  2. Step 2: Convert to fraction form
    225.96/311.22 = 208.65/x
  3. Step 3: Cross multiply
    225.96x = 311.22 × 208.65
  4. Step 4: Simplify right side
    225.96x = 64,936.05
  5. Step 5: Solve for x
    x = 64,936.05/225.96
  6. Step 6: Final answer
    x = 287.38

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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.