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Finding the Fourth Proportional to 204.75, 306.95 and 74.67

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Solution

The fourth proportional to 204.75, 306.95 and 74.67 is: 111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 306.95 = 74.67 : x
  2. Step 2: Convert to fraction form
    204.75/306.95 = 74.67/x
  3. Step 3: Cross multiply
    204.75x = 306.95 × 74.67
  4. Step 4: Simplify right side
    204.75x = 22,919.58
  5. Step 5: Solve for x
    x = 22,919.58/204.75
  6. Step 6: Final answer
    x = 111.94

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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.