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Finding the Fourth Proportional to 205.09, 283.27 and 149.74

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Solution

The fourth proportional to 205.09, 283.27 and 149.74 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.09 : 283.27 = 149.74 : x
  2. Step 2: Convert to fraction form
    205.09/283.27 = 149.74/x
  3. Step 3: Cross multiply
    205.09x = 283.27 × 149.74
  4. Step 4: Simplify right side
    205.09x = 42,416.85
  5. Step 5: Solve for x
    x = 42,416.85/205.09
  6. Step 6: Final answer
    x = 206.82

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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.