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Finding the Fourth Proportional to 205.36, 283.24 and 192.76

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Solution

The fourth proportional to 205.36, 283.24 and 192.76 is: 265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.36 : 283.24 = 192.76 : x
  2. Step 2: Convert to fraction form
    205.36/283.24 = 192.76/x
  3. Step 3: Cross multiply
    205.36x = 283.24 × 192.76
  4. Step 4: Simplify right side
    205.36x = 54,597.34
  5. Step 5: Solve for x
    x = 54,597.34/205.36
  6. Step 6: Final answer
    x = 265.86

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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.