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Finding the Fourth Proportional to 205.76, 283.80 and 190.22

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Solution

The fourth proportional to 205.76, 283.80 and 190.22 is: 262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.76 : 283.80 = 190.22 : x
  2. Step 2: Convert to fraction form
    205.76/283.80 = 190.22/x
  3. Step 3: Cross multiply
    205.76x = 283.80 × 190.22
  4. Step 4: Simplify right side
    205.76x = 53,984.44
  5. Step 5: Solve for x
    x = 53,984.44/205.76
  6. Step 6: Final answer
    x = 262.37

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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.