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Finding the Fourth Proportional to 318.92, 439.90 and 208.52

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Solution

The fourth proportional to 318.92, 439.90 and 208.52 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.92 : 439.90 = 208.52 : x
  2. Step 2: Convert to fraction form
    318.92/439.90 = 208.52/x
  3. Step 3: Cross multiply
    318.92x = 439.90 × 208.52
  4. Step 4: Simplify right side
    318.92x = 91,726.88
  5. Step 5: Solve for x
    x = 91,726.88/318.92
  6. Step 6: Final answer
    x = 287.62

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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.