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Finding the Fourth Proportional to 205.14, 282.97 and 122.24

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Solution

The fourth proportional to 205.14, 282.97 and 122.24 is: 168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.14 : 282.97 = 122.24 : x
  2. Step 2: Convert to fraction form
    205.14/282.97 = 122.24/x
  3. Step 3: Cross multiply
    205.14x = 282.97 × 122.24
  4. Step 4: Simplify right side
    205.14x = 34,588.84
  5. Step 5: Solve for x
    x = 34,588.84/205.14
  6. Step 6: Final answer
    x = 168.61

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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.