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Finding the Fourth Proportional to 197.29, 297.02 and 180.55

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Solution

The fourth proportional to 197.29, 297.02 and 180.55 is: 271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.29 : 297.02 = 180.55 : x
  2. Step 2: Convert to fraction form
    197.29/297.02 = 180.55/x
  3. Step 3: Cross multiply
    197.29x = 297.02 × 180.55
  4. Step 4: Simplify right side
    197.29x = 53,626.96
  5. Step 5: Solve for x
    x = 53,626.96/197.29
  6. Step 6: Final answer
    x = 271.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.