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Finding the Fourth Proportional to 355.57, 490.66 and 208.25

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Solution

The fourth proportional to 355.57, 490.66 and 208.25 is: 287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.57 : 490.66 = 208.25 : x
  2. Step 2: Convert to fraction form
    355.57/490.66 = 208.25/x
  3. Step 3: Cross multiply
    355.57x = 490.66 × 208.25
  4. Step 4: Simplify right side
    355.57x = 102,179.95
  5. Step 5: Solve for x
    x = 102,179.95/355.57
  6. Step 6: Final answer
    x = 287.37

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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.