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Finding the Fourth Proportional to 199.23, 298.83 and 54.95

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Solution

The fourth proportional to 199.23, 298.83 and 54.95 is: 82.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.23 : 298.83 = 54.95 : x
  2. Step 2: Convert to fraction form
    199.23/298.83 = 54.95/x
  3. Step 3: Cross multiply
    199.23x = 298.83 × 54.95
  4. Step 4: Simplify right side
    199.23x = 16,419.21
  5. Step 5: Solve for x
    x = 16,419.21/199.23
  6. Step 6: Final answer
    x = 82.41

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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.