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Finding the Fourth Proportional to 205.78, 283.96 and 132.12

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Solution

The fourth proportional to 205.78, 283.96 and 132.12 is: 182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.78 : 283.96 = 132.12 : x
  2. Step 2: Convert to fraction form
    205.78/283.96 = 132.12/x
  3. Step 3: Cross multiply
    205.78x = 283.96 × 132.12
  4. Step 4: Simplify right side
    205.78x = 37,516.80
  5. Step 5: Solve for x
    x = 37,516.80/205.78
  6. Step 6: Final answer
    x = 182.32

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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.