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Finding the Fourth Proportional to 206.85, 309.86 and 155.55

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Solution

The fourth proportional to 206.85, 309.86 and 155.55 is: 233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.85 : 309.86 = 155.55 : x
  2. Step 2: Convert to fraction form
    206.85/309.86 = 155.55/x
  3. Step 3: Cross multiply
    206.85x = 309.86 × 155.55
  4. Step 4: Simplify right side
    206.85x = 48,198.72
  5. Step 5: Solve for x
    x = 48,198.72/206.85
  6. Step 6: Final answer
    x = 233.01

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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.