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Finding the Fourth Proportional to 205.80, 284.05 and 132.29

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Solution

The fourth proportional to 205.80, 284.05 and 132.29 is: 182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.80 : 284.05 = 132.29 : x
  2. Step 2: Convert to fraction form
    205.80/284.05 = 132.29/x
  3. Step 3: Cross multiply
    205.80x = 284.05 × 132.29
  4. Step 4: Simplify right side
    205.80x = 37,576.97
  5. Step 5: Solve for x
    x = 37,576.97/205.80
  6. Step 6: Final answer
    x = 182.59

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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.