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Finding the Fourth Proportional to 348.73, 481.22 and 208.82

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Solution

The fourth proportional to 348.73, 481.22 and 208.82 is: 288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.73 : 481.22 = 208.82 : x
  2. Step 2: Convert to fraction form
    348.73/481.22 = 208.82/x
  3. Step 3: Cross multiply
    348.73x = 481.22 × 208.82
  4. Step 4: Simplify right side
    348.73x = 100,488.36
  5. Step 5: Solve for x
    x = 100,488.36/348.73
  6. Step 6: Final answer
    x = 288.16

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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.