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Finding the Fourth Proportional to 197.16, 271.92 and 130.86

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Solution

The fourth proportional to 197.16, 271.92 and 130.86 is: 180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.16 : 271.92 = 130.86 : x
  2. Step 2: Convert to fraction form
    197.16/271.92 = 130.86/x
  3. Step 3: Cross multiply
    197.16x = 271.92 × 130.86
  4. Step 4: Simplify right side
    197.16x = 35,583.45
  5. Step 5: Solve for x
    x = 35,583.45/197.16
  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.