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Finding the Fourth Proportional to 206.67, 284.86 and 189.24

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Solution

The fourth proportional to 206.67, 284.86 and 189.24 is: 260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.67 : 284.86 = 189.24 : x
  2. Step 2: Convert to fraction form
    206.67/284.86 = 189.24/x
  3. Step 3: Cross multiply
    206.67x = 284.86 × 189.24
  4. Step 4: Simplify right side
    206.67x = 53,906.91
  5. Step 5: Solve for x
    x = 53,906.91/206.67
  6. Step 6: Final answer
    x = 260.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.