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Finding the Fourth Proportional to 198.95, 298.41 and 54.67

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Solution

The fourth proportional to 198.95, 298.41 and 54.67 is: 82.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.95 : 298.41 = 54.67 : x
  2. Step 2: Convert to fraction form
    198.95/298.41 = 54.67/x
  3. Step 3: Cross multiply
    198.95x = 298.41 × 54.67
  4. Step 4: Simplify right side
    198.95x = 16,314.07
  5. Step 5: Solve for x
    x = 16,314.07/198.95
  6. Step 6: Final answer
    x = 82.00

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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.