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Finding the Fourth Proportional to 198.83, 298.32 and 90.62

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Solution

The fourth proportional to 198.83, 298.32 and 90.62 is: 135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.83 : 298.32 = 90.62 : x
  2. Step 2: Convert to fraction form
    198.83/298.32 = 90.62/x
  3. Step 3: Cross multiply
    198.83x = 298.32 × 90.62
  4. Step 4: Simplify right side
    198.83x = 27,033.76
  5. Step 5: Solve for x
    x = 27,033.76/198.83
  6. Step 6: Final answer
    x = 135.96

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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.