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Finding the Fourth Proportional to 197.94, 298.54 and 195.41

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Solution

The fourth proportional to 197.94, 298.54 and 195.41 is: 294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.94 : 298.54 = 195.41 : x
  2. Step 2: Convert to fraction form
    197.94/298.54 = 195.41/x
  3. Step 3: Cross multiply
    197.94x = 298.54 × 195.41
  4. Step 4: Simplify right side
    197.94x = 58,337.59
  5. Step 5: Solve for x
    x = 58,337.59/197.94
  6. Step 6: Final answer
    x = 294.72

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Why These Related Problems?

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