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Finding the Fourth Proportional to 197.08, 297.35 and 195.46

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Solution

The fourth proportional to 197.08, 297.35 and 195.46 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.08 : 297.35 = 195.46 : x
  2. Step 2: Convert to fraction form
    197.08/297.35 = 195.46/x
  3. Step 3: Cross multiply
    197.08x = 297.35 × 195.46
  4. Step 4: Simplify right side
    197.08x = 58,120.03
  5. Step 5: Solve for x
    x = 58,120.03/197.08
  6. Step 6: Final answer
    x = 294.91

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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.