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Finding the Fourth Proportional to 197.97, 294.84 and 195.63

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Solution

The fourth proportional to 197.97, 294.84 and 195.63 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.97 : 294.84 = 195.63 : x
  2. Step 2: Convert to fraction form
    197.97/294.84 = 195.63/x
  3. Step 3: Cross multiply
    197.97x = 294.84 × 195.63
  4. Step 4: Simplify right side
    197.97x = 57,679.55
  5. Step 5: Solve for x
    x = 57,679.55/197.97
  6. Step 6: Final answer
    x = 291.35

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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.