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Finding the Fourth Proportional to 205.50, 283.56 and 192.42

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Solution

The fourth proportional to 205.50, 283.56 and 192.42 is: 265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 283.56 = 192.42 : x
  2. Step 2: Convert to fraction form
    205.50/283.56 = 192.42/x
  3. Step 3: Cross multiply
    205.50x = 283.56 × 192.42
  4. Step 4: Simplify right side
    205.50x = 54,562.62
  5. Step 5: Solve for x
    x = 54,562.62/205.50
  6. Step 6: Final answer
    x = 265.51

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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.