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Finding the Fourth Proportional to 205.20, 283.21 and 126.50

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Solution

The fourth proportional to 205.20, 283.21 and 126.50 is: 174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 283.21 = 126.50 : x
  2. Step 2: Convert to fraction form
    205.20/283.21 = 126.50/x
  3. Step 3: Cross multiply
    205.20x = 283.21 × 126.50
  4. Step 4: Simplify right side
    205.20x = 35,826.07
  5. Step 5: Solve for x
    x = 35,826.07/205.20
  6. Step 6: Final answer
    x = 174.59

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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.