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Finding the Fourth Proportional to 197.69, 296.57 and 95.09

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Solution

The fourth proportional to 197.69, 296.57 and 95.09 is: 142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.69 : 296.57 = 95.09 : x
  2. Step 2: Convert to fraction form
    197.69/296.57 = 95.09/x
  3. Step 3: Cross multiply
    197.69x = 296.57 × 95.09
  4. Step 4: Simplify right side
    197.69x = 28,199.60
  5. Step 5: Solve for x
    x = 28,199.60/197.69
  6. Step 6: Final answer
    x = 142.65

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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.