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Finding the Fourth Proportional to 205.03, 282.94 and 122.14

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Solution

The fourth proportional to 205.03, 282.94 and 122.14 is: 168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 282.94 = 122.14 : x
  2. Step 2: Convert to fraction form
    205.03/282.94 = 122.14/x
  3. Step 3: Cross multiply
    205.03x = 282.94 × 122.14
  4. Step 4: Simplify right side
    205.03x = 34,559.03
  5. Step 5: Solve for x
    x = 34,559.03/205.03
  6. Step 6: Final answer
    x = 168.55

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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.