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Finding the Fourth Proportional to 205.10, 307.63 and 81.71

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Solution

The fourth proportional to 205.10, 307.63 and 81.71 is: 122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.10 : 307.63 = 81.71 : x
  2. Step 2: Convert to fraction form
    205.10/307.63 = 81.71/x
  3. Step 3: Cross multiply
    205.10x = 307.63 × 81.71
  4. Step 4: Simplify right side
    205.10x = 25,136.45
  5. Step 5: Solve for x
    x = 25,136.45/205.10
  6. Step 6: Final answer
    x = 122.56

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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.