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Finding the Fourth Proportional to 205.97, 284.23 and 112.71

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Solution

The fourth proportional to 205.97, 284.23 and 112.71 is: 155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 284.23 = 112.71 : x
  2. Step 2: Convert to fraction form
    205.97/284.23 = 112.71/x
  3. Step 3: Cross multiply
    205.97x = 284.23 × 112.71
  4. Step 4: Simplify right side
    205.97x = 32,035.28
  5. Step 5: Solve for x
    x = 32,035.28/205.97
  6. Step 6: Final answer
    x = 155.54

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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.