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Finding the Fourth Proportional to 197.40, 294.54 and 196.26

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Solution

The fourth proportional to 197.40, 294.54 and 196.26 is: 292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.40 : 294.54 = 196.26 : x
  2. Step 2: Convert to fraction form
    197.40/294.54 = 196.26/x
  3. Step 3: Cross multiply
    197.40x = 294.54 × 196.26
  4. Step 4: Simplify right side
    197.40x = 57,806.24
  5. Step 5: Solve for x
    x = 57,806.24/197.40
  6. Step 6: Final answer
    x = 292.83

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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.