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Finding the Fourth Proportional to 198.18, 296.62 and 110.19

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Solution

The fourth proportional to 198.18, 296.62 and 110.19 is: 164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.18 : 296.62 = 110.19 : x
  2. Step 2: Convert to fraction form
    198.18/296.62 = 110.19/x
  3. Step 3: Cross multiply
    198.18x = 296.62 × 110.19
  4. Step 4: Simplify right side
    198.18x = 32,683.58
  5. Step 5: Solve for x
    x = 32,683.58/198.18
  6. Step 6: Final answer
    x = 164.92

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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.