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Finding the Fourth Proportional to 205.67, 308.78 and 97.67

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Solution

The fourth proportional to 205.67, 308.78 and 97.67 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.67 : 308.78 = 97.67 : x
  2. Step 2: Convert to fraction form
    205.67/308.78 = 97.67/x
  3. Step 3: Cross multiply
    205.67x = 308.78 × 97.67
  4. Step 4: Simplify right side
    205.67x = 30,158.54
  5. Step 5: Solve for x
    x = 30,158.54/205.67
  6. Step 6: Final answer
    x = 146.64

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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.