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Finding the Fourth Proportional to 197.54, 297.82 and 183.62

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Solution

The fourth proportional to 197.54, 297.82 and 183.62 is: 276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.54 : 297.82 = 183.62 : x
  2. Step 2: Convert to fraction form
    197.54/297.82 = 183.62/x
  3. Step 3: Cross multiply
    197.54x = 297.82 × 183.62
  4. Step 4: Simplify right side
    197.54x = 54,684.79
  5. Step 5: Solve for x
    x = 54,684.79/197.54
  6. Step 6: Final answer
    x = 276.83

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