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Finding the Fourth Proportional to 198.84, 298.62 and 162.84

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Solution

The fourth proportional to 198.84, 298.62 and 162.84 is: 244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 298.62 = 162.84 : x
  2. Step 2: Convert to fraction form
    198.84/298.62 = 162.84/x
  3. Step 3: Cross multiply
    198.84x = 298.62 × 162.84
  4. Step 4: Simplify right side
    198.84x = 48,627.28
  5. Step 5: Solve for x
    x = 48,627.28/198.84
  6. Step 6: Final answer
    x = 244.55

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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.