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Finding the Fourth Proportional to 198.24, 297.64 and 111.74

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Solution

The fourth proportional to 198.24, 297.64 and 111.74 is: 167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.24 : 297.64 = 111.74 : x
  2. Step 2: Convert to fraction form
    198.24/297.64 = 111.74/x
  3. Step 3: Cross multiply
    198.24x = 297.64 × 111.74
  4. Step 4: Simplify right side
    198.24x = 33,258.29
  5. Step 5: Solve for x
    x = 33,258.29/198.24
  6. Step 6: Final answer
    x = 167.77

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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.