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Finding the Fourth Proportional to 348.14, 480.20 and 217.22

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Solution

The fourth proportional to 348.14, 480.20 and 217.22 is: 299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.14 : 480.20 = 217.22 : x
  2. Step 2: Convert to fraction form
    348.14/480.20 = 217.22/x
  3. Step 3: Cross multiply
    348.14x = 480.20 × 217.22
  4. Step 4: Simplify right side
    348.14x = 104,305.56
  5. Step 5: Solve for x
    x = 104,305.56/348.14
  6. Step 6: Final answer
    x = 299.61

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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.