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Finding the Fourth Proportional to 198.96, 298.09 and 130.51

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Solution

The fourth proportional to 198.96, 298.09 and 130.51 is: 195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.96 : 298.09 = 130.51 : x
  2. Step 2: Convert to fraction form
    198.96/298.09 = 130.51/x
  3. Step 3: Cross multiply
    198.96x = 298.09 × 130.51
  4. Step 4: Simplify right side
    198.96x = 38,903.73
  5. Step 5: Solve for x
    x = 38,903.73/198.96
  6. Step 6: Final answer
    x = 195.54

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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.