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Finding the Fourth Proportional to 197.81, 296.21 and 146.38

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Solution

The fourth proportional to 197.81, 296.21 and 146.38 is: 219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.81 : 296.21 = 146.38 : x
  2. Step 2: Convert to fraction form
    197.81/296.21 = 146.38/x
  3. Step 3: Cross multiply
    197.81x = 296.21 × 146.38
  4. Step 4: Simplify right side
    197.81x = 43,358.85
  5. Step 5: Solve for x
    x = 43,358.85/197.81
  6. Step 6: Final answer
    x = 219.19

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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.