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Finding the Fourth Proportional to 199.12, 298.60 and 77.44

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Solution

The fourth proportional to 199.12, 298.60 and 77.44 is: 116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.12 : 298.60 = 77.44 : x
  2. Step 2: Convert to fraction form
    199.12/298.60 = 77.44/x
  3. Step 3: Cross multiply
    199.12x = 298.60 × 77.44
  4. Step 4: Simplify right side
    199.12x = 23,123.58
  5. Step 5: Solve for x
    x = 23,123.58/199.12
  6. Step 6: Final answer
    x = 116.13

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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.