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Finding the Fourth Proportional to 198.56, 297.33 and 107.29

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Solution

The fourth proportional to 198.56, 297.33 and 107.29 is: 160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.56 : 297.33 = 107.29 : x
  2. Step 2: Convert to fraction form
    198.56/297.33 = 107.29/x
  3. Step 3: Cross multiply
    198.56x = 297.33 × 107.29
  4. Step 4: Simplify right side
    198.56x = 31,898.51
  5. Step 5: Solve for x
    x = 31,898.51/198.56
  6. Step 6: Final answer
    x = 160.65

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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.