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Finding the Fourth Proportional to 289.76, 399.20 and 206.69

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Solution

The fourth proportional to 289.76, 399.20 and 206.69 is: 284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.76 : 399.20 = 206.69 : x
  2. Step 2: Convert to fraction form
    289.76/399.20 = 206.69/x
  3. Step 3: Cross multiply
    289.76x = 399.20 × 206.69
  4. Step 4: Simplify right side
    289.76x = 82,507.62
  5. Step 5: Solve for x
    x = 82,507.62/289.76
  6. Step 6: Final answer
    x = 284.75

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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.