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Finding the Fourth Proportional to 289.68, 399.86 and 206.83

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Solution

The fourth proportional to 289.68, 399.86 and 206.83 is: 285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.68 : 399.86 = 206.83 : x
  2. Step 2: Convert to fraction form
    289.68/399.86 = 206.83/x
  3. Step 3: Cross multiply
    289.68x = 399.86 × 206.83
  4. Step 4: Simplify right side
    289.68x = 82,703.04
  5. Step 5: Solve for x
    x = 82,703.04/289.68
  6. Step 6: Final answer
    x = 285.50

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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.