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Finding the Fourth Proportional to 197.77, 297.64 and 149.27

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Solution

The fourth proportional to 197.77, 297.64 and 149.27 is: 224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.77 : 297.64 = 149.27 : x
  2. Step 2: Convert to fraction form
    197.77/297.64 = 149.27/x
  3. Step 3: Cross multiply
    197.77x = 297.64 × 149.27
  4. Step 4: Simplify right side
    197.77x = 44,428.72
  5. Step 5: Solve for x
    x = 44,428.72/197.77
  6. Step 6: Final answer
    x = 224.65

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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.