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Finding the Fourth Proportional to 197.22, 294.50 and 171.20

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Solution

The fourth proportional to 197.22, 294.50 and 171.20 is: 255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.22 : 294.50 = 171.20 : x
  2. Step 2: Convert to fraction form
    197.22/294.50 = 171.20/x
  3. Step 3: Cross multiply
    197.22x = 294.50 × 171.20
  4. Step 4: Simplify right side
    197.22x = 50,418.40
  5. Step 5: Solve for x
    x = 50,418.40/197.22
  6. Step 6: Final answer
    x = 255.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.