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Finding the Fourth Proportional to 197.99, 296.81 and 136.93

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Solution

The fourth proportional to 197.99, 296.81 and 136.93 is: 205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.99 : 296.81 = 136.93 : x
  2. Step 2: Convert to fraction form
    197.99/296.81 = 136.93/x
  3. Step 3: Cross multiply
    197.99x = 296.81 × 136.93
  4. Step 4: Simplify right side
    197.99x = 40,641.28
  5. Step 5: Solve for x
    x = 40,641.28/197.99
  6. Step 6: Final answer
    x = 205.27

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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.