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Finding the Fourth Proportional to 225.97, 311.34 and 217.87

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Solution

The fourth proportional to 225.97, 311.34 and 217.87 is: 300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.97 : 311.34 = 217.87 : x
  2. Step 2: Convert to fraction form
    225.97/311.34 = 217.87/x
  3. Step 3: Cross multiply
    225.97x = 311.34 × 217.87
  4. Step 4: Simplify right side
    225.97x = 67,831.65
  5. Step 5: Solve for x
    x = 67,831.65/225.97
  6. Step 6: Final answer
    x = 300.18

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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.