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Finding the Fourth Proportional to 197.69, 296.01 and 191.91

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Solution

The fourth proportional to 197.69, 296.01 and 191.91 is: 287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.69 : 296.01 = 191.91 : x
  2. Step 2: Convert to fraction form
    197.69/296.01 = 191.91/x
  3. Step 3: Cross multiply
    197.69x = 296.01 × 191.91
  4. Step 4: Simplify right side
    197.69x = 56,807.28
  5. Step 5: Solve for x
    x = 56,807.28/197.69
  6. Step 6: Final answer
    x = 287.36

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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.