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Finding the Fourth Proportional to 205.22, 283.26 and 126.52

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Solution

The fourth proportional to 205.22, 283.26 and 126.52 is: 174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.22 : 283.26 = 126.52 : x
  2. Step 2: Convert to fraction form
    205.22/283.26 = 126.52/x
  3. Step 3: Cross multiply
    205.22x = 283.26 × 126.52
  4. Step 4: Simplify right side
    205.22x = 35,838.06
  5. Step 5: Solve for x
    x = 35,838.06/205.22
  6. Step 6: Final answer
    x = 174.63

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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.