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Finding the Fourth Proportional to 204.80, 307.26 and 139.73

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Solution

The fourth proportional to 204.80, 307.26 and 139.73 is: 209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.80 : 307.26 = 139.73 : x
  2. Step 2: Convert to fraction form
    204.80/307.26 = 139.73/x
  3. Step 3: Cross multiply
    204.80x = 307.26 × 139.73
  4. Step 4: Simplify right side
    204.80x = 42,933.44
  5. Step 5: Solve for x
    x = 42,933.44/204.80
  6. Step 6: Final answer
    x = 209.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.