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Finding the Fourth Proportional to 206.85, 308.72 and 190.57

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Solution

The fourth proportional to 206.85, 308.72 and 190.57 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.85 : 308.72 = 190.57 : x
  2. Step 2: Convert to fraction form
    206.85/308.72 = 190.57/x
  3. Step 3: Cross multiply
    206.85x = 308.72 × 190.57
  4. Step 4: Simplify right side
    206.85x = 58,832.77
  5. Step 5: Solve for x
    x = 58,832.77/206.85
  6. Step 6: Final answer
    x = 284.42

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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.