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Finding the Fourth Proportional to 204.50, 306.67 and 110.67

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Solution

The fourth proportional to 204.50, 306.67 and 110.67 is: 165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.50 : 306.67 = 110.67 : x
  2. Step 2: Convert to fraction form
    204.50/306.67 = 110.67/x
  3. Step 3: Cross multiply
    204.50x = 306.67 × 110.67
  4. Step 4: Simplify right side
    204.50x = 33,939.39
  5. Step 5: Solve for x
    x = 33,939.39/204.50
  6. Step 6: Final answer
    x = 165.96

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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.