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Finding the Fourth Proportional to 197.20, 296.16 and 101.20

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Solution

The fourth proportional to 197.20, 296.16 and 101.20 is: 151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.20 : 296.16 = 101.20 : x
  2. Step 2: Convert to fraction form
    197.20/296.16 = 101.20/x
  3. Step 3: Cross multiply
    197.20x = 296.16 × 101.20
  4. Step 4: Simplify right side
    197.20x = 29,971.39
  5. Step 5: Solve for x
    x = 29,971.39/197.20
  6. Step 6: Final answer
    x = 151.98

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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.