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Finding the Fourth Proportional to 131.85, 197.34 and 122.23

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Solution

The fourth proportional to 131.85, 197.34 and 122.23 is: 182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.85 : 197.34 = 122.23 : x
  2. Step 2: Convert to fraction form
    131.85/197.34 = 122.23/x
  3. Step 3: Cross multiply
    131.85x = 197.34 × 122.23
  4. Step 4: Simplify right side
    131.85x = 24,120.87
  5. Step 5: Solve for x
    x = 24,120.87/131.85
  6. Step 6: Final answer
    x = 182.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.