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Finding the Fourth Proportional to 197.73, 295.20 and 178.11

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Solution

The fourth proportional to 197.73, 295.20 and 178.11 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.73 : 295.20 = 178.11 : x
  2. Step 2: Convert to fraction form
    197.73/295.20 = 178.11/x
  3. Step 3: Cross multiply
    197.73x = 295.20 × 178.11
  4. Step 4: Simplify right side
    197.73x = 52,578.07
  5. Step 5: Solve for x
    x = 52,578.07/197.73
  6. Step 6: Final answer
    x = 265.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.