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Finding the Fourth Proportional to 197.67, 297.57 and 171.21

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Solution

The fourth proportional to 197.67, 297.57 and 171.21 is: 257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.67 : 297.57 = 171.21 : x
  2. Step 2: Convert to fraction form
    197.67/297.57 = 171.21/x
  3. Step 3: Cross multiply
    197.67x = 297.57 × 171.21
  4. Step 4: Simplify right side
    197.67x = 50,946.96
  5. Step 5: Solve for x
    x = 50,946.96/197.67
  6. Step 6: Final answer
    x = 257.74

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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.