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Finding the Fourth Proportional to 205.92, 284.16 and 123.08

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Solution

The fourth proportional to 205.92, 284.16 and 123.08 is: 169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 284.16 = 123.08 : x
  2. Step 2: Convert to fraction form
    205.92/284.16 = 123.08/x
  3. Step 3: Cross multiply
    205.92x = 284.16 × 123.08
  4. Step 4: Simplify right side
    205.92x = 34,974.41
  5. Step 5: Solve for x
    x = 34,974.41/205.92
  6. Step 6: Final answer
    x = 169.84

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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.