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Finding the Fourth Proportional to 205.13, 283.02 and 122.24

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Solution

The fourth proportional to 205.13, 283.02 and 122.24 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 283.02 = 122.24 : x
  2. Step 2: Convert to fraction form
    205.13/283.02 = 122.24/x
  3. Step 3: Cross multiply
    205.13x = 283.02 × 122.24
  4. Step 4: Simplify right side
    205.13x = 34,596.36
  5. Step 5: Solve for x
    x = 34,596.36/205.13
  6. Step 6: Final answer
    x = 168.66

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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.