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Finding the Fourth Proportional to 205.24, 283.24 and 122.32

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Solution

The fourth proportional to 205.24, 283.24 and 122.32 is: 168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 283.24 = 122.32 : x
  2. Step 2: Convert to fraction form
    205.24/283.24 = 122.32/x
  3. Step 3: Cross multiply
    205.24x = 283.24 × 122.32
  4. Step 4: Simplify right side
    205.24x = 34,645.92
  5. Step 5: Solve for x
    x = 34,645.92/205.24
  6. Step 6: Final answer
    x = 168.81

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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.