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Finding the Fourth Proportional to 205.37, 283.74 and 188.97

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Solution

The fourth proportional to 205.37, 283.74 and 188.97 is: 261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.37 : 283.74 = 188.97 : x
  2. Step 2: Convert to fraction form
    205.37/283.74 = 188.97/x
  3. Step 3: Cross multiply
    205.37x = 283.74 × 188.97
  4. Step 4: Simplify right side
    205.37x = 53,616.58
  5. Step 5: Solve for x
    x = 53,616.58/205.37
  6. Step 6: Final answer
    x = 261.07

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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.