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Finding the Fourth Proportional to 198.64, 298.52 and 102.52

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Solution

The fourth proportional to 198.64, 298.52 and 102.52 is: 154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 298.52 = 102.52 : x
  2. Step 2: Convert to fraction form
    198.64/298.52 = 102.52/x
  3. Step 3: Cross multiply
    198.64x = 298.52 × 102.52
  4. Step 4: Simplify right side
    198.64x = 30,604.27
  5. Step 5: Solve for x
    x = 30,604.27/198.64
  6. Step 6: Final answer
    x = 154.07

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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.