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Finding the Fourth Proportional to 199.32, 298.67 and 83.67

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Solution

The fourth proportional to 199.32, 298.67 and 83.67 is: 125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.32 : 298.67 = 83.67 : x
  2. Step 2: Convert to fraction form
    199.32/298.67 = 83.67/x
  3. Step 3: Cross multiply
    199.32x = 298.67 × 83.67
  4. Step 4: Simplify right side
    199.32x = 24,989.30
  5. Step 5: Solve for x
    x = 24,989.30/199.32
  6. Step 6: Final answer
    x = 125.37

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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.