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Finding the Fourth Proportional to 289.85, 399.68 and 206.92

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Solution

The fourth proportional to 289.85, 399.68 and 206.92 is: 285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.85 : 399.68 = 206.92 : x
  2. Step 2: Convert to fraction form
    289.85/399.68 = 206.92/x
  3. Step 3: Cross multiply
    289.85x = 399.68 × 206.92
  4. Step 4: Simplify right side
    289.85x = 82,702.03
  5. Step 5: Solve for x
    x = 82,702.03/289.85
  6. Step 6: Final answer
    x = 285.33

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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.