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Finding the Fourth Proportional to 197.88, 296.23 and 146.75

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Solution

The fourth proportional to 197.88, 296.23 and 146.75 is: 219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.88 : 296.23 = 146.75 : x
  2. Step 2: Convert to fraction form
    197.88/296.23 = 146.75/x
  3. Step 3: Cross multiply
    197.88x = 296.23 × 146.75
  4. Step 4: Simplify right side
    197.88x = 43,472.12
  5. Step 5: Solve for x
    x = 43,472.12/197.88
  6. Step 6: Final answer
    x = 219.69

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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.