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Finding the Fourth Proportional to 206.75, 308.75 and 183.67

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Solution

The fourth proportional to 206.75, 308.75 and 183.67 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 308.75 = 183.67 : x
  2. Step 2: Convert to fraction form
    206.75/308.75 = 183.67/x
  3. Step 3: Cross multiply
    206.75x = 308.75 × 183.67
  4. Step 4: Simplify right side
    206.75x = 56,706.42
  5. Step 5: Solve for x
    x = 56,706.42/206.75
  6. Step 6: Final answer
    x = 274.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.