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Finding the Fourth Proportional to 197.10, 271.90 and 130.83

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Solution

The fourth proportional to 197.10, 271.90 and 130.83 is: 180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.10 : 271.90 = 130.83 : x
  2. Step 2: Convert to fraction form
    197.10/271.90 = 130.83/x
  3. Step 3: Cross multiply
    197.10x = 271.90 × 130.83
  4. Step 4: Simplify right side
    197.10x = 35,572.68
  5. Step 5: Solve for x
    x = 35,572.68/197.10
  6. Step 6: Final answer
    x = 180.48

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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.