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Finding the Fourth Proportional to 205.90, 284.22 and 132.22

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Solution

The fourth proportional to 205.90, 284.22 and 132.22 is: 182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.90 : 284.22 = 132.22 : x
  2. Step 2: Convert to fraction form
    205.90/284.22 = 132.22/x
  3. Step 3: Cross multiply
    205.90x = 284.22 × 132.22
  4. Step 4: Simplify right side
    205.90x = 37,579.57
  5. Step 5: Solve for x
    x = 37,579.57/205.90
  6. Step 6: Final answer
    x = 182.51

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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.