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Finding the Fourth Proportional to 205.97, 284.24 and 123.06

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Solution

The fourth proportional to 205.97, 284.24 and 123.06 is: 169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 284.24 = 123.06 : x
  2. Step 2: Convert to fraction form
    205.97/284.24 = 123.06/x
  3. Step 3: Cross multiply
    205.97x = 284.24 × 123.06
  4. Step 4: Simplify right side
    205.97x = 34,978.57
  5. Step 5: Solve for x
    x = 34,978.57/205.97
  6. Step 6: Final answer
    x = 169.82

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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.