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Finding the Fourth Proportional to 198.06, 296.91 and 95.37

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Solution

The fourth proportional to 198.06, 296.91 and 95.37 is: 142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.06 : 296.91 = 95.37 : x
  2. Step 2: Convert to fraction form
    198.06/296.91 = 95.37/x
  3. Step 3: Cross multiply
    198.06x = 296.91 × 95.37
  4. Step 4: Simplify right side
    198.06x = 28,316.31
  5. Step 5: Solve for x
    x = 28,316.31/198.06
  6. Step 6: Final answer
    x = 142.97

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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.