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Finding the Fourth Proportional to 197.39, 296.10 and 120.31

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Solution

The fourth proportional to 197.39, 296.10 and 120.31 is: 180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.39 : 296.10 = 120.31 : x
  2. Step 2: Convert to fraction form
    197.39/296.10 = 120.31/x
  3. Step 3: Cross multiply
    197.39x = 296.10 × 120.31
  4. Step 4: Simplify right side
    197.39x = 35,623.55
  5. Step 5: Solve for x
    x = 35,623.55/197.39
  6. Step 6: Final answer
    x = 180.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.