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Finding the Fourth Proportional to 197.06, 293.60 and 196.25

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Solution

The fourth proportional to 197.06, 293.60 and 196.25 is: 292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.06 : 293.60 = 196.25 : x
  2. Step 2: Convert to fraction form
    197.06/293.60 = 196.25/x
  3. Step 3: Cross multiply
    197.06x = 293.60 × 196.25
  4. Step 4: Simplify right side
    197.06x = 57,616.55
  5. Step 5: Solve for x
    x = 57,616.55/197.06
  6. Step 6: Final answer
    x = 292.39

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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.