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Finding the Fourth Proportional to 205.96, 284.13 and 137.77

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Solution

The fourth proportional to 205.96, 284.13 and 137.77 is: 190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.96 : 284.13 = 137.77 : x
  2. Step 2: Convert to fraction form
    205.96/284.13 = 137.77/x
  3. Step 3: Cross multiply
    205.96x = 284.13 × 137.77
  4. Step 4: Simplify right side
    205.96x = 39,144.59
  5. Step 5: Solve for x
    x = 39,144.59/205.96
  6. Step 6: Final answer
    x = 190.06

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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.