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Finding the Fourth Proportional to 197.16, 271.94 and 130.80

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Solution

The fourth proportional to 197.16, 271.94 and 130.80 is: 180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.16 : 271.94 = 130.80 : x
  2. Step 2: Convert to fraction form
    197.16/271.94 = 130.80/x
  3. Step 3: Cross multiply
    197.16x = 271.94 × 130.80
  4. Step 4: Simplify right side
    197.16x = 35,569.75
  5. Step 5: Solve for x
    x = 35,569.75/197.16
  6. Step 6: Final answer
    x = 180.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.