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Finding the Fourth Proportional to 198.86, 297.68 and 107.60

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Solution

The fourth proportional to 198.86, 297.68 and 107.60 is: 161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.86 : 297.68 = 107.60 : x
  2. Step 2: Convert to fraction form
    198.86/297.68 = 107.60/x
  3. Step 3: Cross multiply
    198.86x = 297.68 × 107.60
  4. Step 4: Simplify right side
    198.86x = 32,030.37
  5. Step 5: Solve for x
    x = 32,030.37/198.86
  6. Step 6: Final answer
    x = 161.07

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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.