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Finding the Fourth Proportional to 205.96, 284.22 and 136.13

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Solution

The fourth proportional to 205.96, 284.22 and 136.13 is: 187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.96 : 284.22 = 136.13 : x
  2. Step 2: Convert to fraction form
    205.96/284.22 = 136.13/x
  3. Step 3: Cross multiply
    205.96x = 284.22 × 136.13
  4. Step 4: Simplify right side
    205.96x = 38,690.87
  5. Step 5: Solve for x
    x = 38,690.87/205.96
  6. Step 6: Final answer
    x = 187.86

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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.