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Finding the Fourth Proportional to 206.49, 309.77 and 103.83

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Solution

The fourth proportional to 206.49, 309.77 and 103.83 is: 155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 309.77 = 103.83 : x
  2. Step 2: Convert to fraction form
    206.49/309.77 = 103.83/x
  3. Step 3: Cross multiply
    206.49x = 309.77 × 103.83
  4. Step 4: Simplify right side
    206.49x = 32,163.42
  5. Step 5: Solve for x
    x = 32,163.42/206.49
  6. Step 6: Final answer
    x = 155.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.