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Finding the Fourth Proportional to 198.78, 298.08 and 107.46

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Solution

The fourth proportional to 198.78, 298.08 and 107.46 is: 161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.78 : 298.08 = 107.46 : x
  2. Step 2: Convert to fraction form
    198.78/298.08 = 107.46/x
  3. Step 3: Cross multiply
    198.78x = 298.08 × 107.46
  4. Step 4: Simplify right side
    198.78x = 32,030.19
  5. Step 5: Solve for x
    x = 32,030.19/198.78
  6. Step 6: Final answer
    x = 161.13

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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.