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Finding the Fourth Proportional to 206.67, 309.93 and 103.85

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Solution

The fourth proportional to 206.67, 309.93 and 103.85 is: 155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.67 : 309.93 = 103.85 : x
  2. Step 2: Convert to fraction form
    206.67/309.93 = 103.85/x
  3. Step 3: Cross multiply
    206.67x = 309.93 × 103.85
  4. Step 4: Simplify right side
    206.67x = 32,186.23
  5. Step 5: Solve for x
    x = 32,186.23/206.67
  6. Step 6: Final answer
    x = 155.74

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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.