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Finding the Fourth Proportional to 197.09, 271.88 and 183.19

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Solution

The fourth proportional to 197.09, 271.88 and 183.19 is: 252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.09 : 271.88 = 183.19 : x
  2. Step 2: Convert to fraction form
    197.09/271.88 = 183.19/x
  3. Step 3: Cross multiply
    197.09x = 271.88 × 183.19
  4. Step 4: Simplify right side
    197.09x = 49,804.78
  5. Step 5: Solve for x
    x = 49,804.78/197.09
  6. Step 6: Final answer
    x = 252.70

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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.