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Finding the Fourth Proportional to 318.26, 439.24 and 201.80

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Solution

The fourth proportional to 318.26, 439.24 and 201.80 is: 278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.26 : 439.24 = 201.80 : x
  2. Step 2: Convert to fraction form
    318.26/439.24 = 201.80/x
  3. Step 3: Cross multiply
    318.26x = 439.24 × 201.80
  4. Step 4: Simplify right side
    318.26x = 88,638.63
  5. Step 5: Solve for x
    x = 88,638.63/318.26
  6. Step 6: Final answer
    x = 278.51

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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.