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Finding the Fourth Proportional to 205.49, 283.60 and 122.60

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Solution

The fourth proportional to 205.49, 283.60 and 122.60 is: 169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.49 : 283.60 = 122.60 : x
  2. Step 2: Convert to fraction form
    205.49/283.60 = 122.60/x
  3. Step 3: Cross multiply
    205.49x = 283.60 × 122.60
  4. Step 4: Simplify right side
    205.49x = 34,767.94
  5. Step 5: Solve for x
    x = 34,767.94/205.49
  6. Step 6: Final answer
    x = 169.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.