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Finding the Fourth Proportional to 205.84, 284.01 and 122.92

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Solution

The fourth proportional to 205.84, 284.01 and 122.92 is: 169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.84 : 284.01 = 122.92 : x
  2. Step 2: Convert to fraction form
    205.84/284.01 = 122.92/x
  3. Step 3: Cross multiply
    205.84x = 284.01 × 122.92
  4. Step 4: Simplify right side
    205.84x = 34,909.34
  5. Step 5: Solve for x
    x = 34,909.34/205.84
  6. Step 6: Final answer
    x = 169.59

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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.