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Finding the Fourth Proportional to 197.44, 296.17 and 53.17

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Solution

The fourth proportional to 197.44, 296.17 and 53.17 is: 79.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.44 : 296.17 = 53.17 : x
  2. Step 2: Convert to fraction form
    197.44/296.17 = 53.17/x
  3. Step 3: Cross multiply
    197.44x = 296.17 × 53.17
  4. Step 4: Simplify right side
    197.44x = 15,746.49
  5. Step 5: Solve for x
    x = 15,746.49/197.44
  6. Step 6: Final answer
    x = 79.75

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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.