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Finding the Fourth Proportional to 205.14, 283.06 and 122.23

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Solution

The fourth proportional to 205.14, 283.06 and 122.23 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.14 : 283.06 = 122.23 : x
  2. Step 2: Convert to fraction form
    205.14/283.06 = 122.23/x
  3. Step 3: Cross multiply
    205.14x = 283.06 × 122.23
  4. Step 4: Simplify right side
    205.14x = 34,598.42
  5. Step 5: Solve for x
    x = 34,598.42/205.14
  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.