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Finding the Fourth Proportional to 199.14, 298.44 and 96.22

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Solution

The fourth proportional to 199.14, 298.44 and 96.22 is: 144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.14 : 298.44 = 96.22 : x
  2. Step 2: Convert to fraction form
    199.14/298.44 = 96.22/x
  3. Step 3: Cross multiply
    199.14x = 298.44 × 96.22
  4. Step 4: Simplify right side
    199.14x = 28,715.90
  5. Step 5: Solve for x
    x = 28,715.90/199.14
  6. Step 6: Final answer
    x = 144.20

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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.