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Finding the Fourth Proportional to 206.06, 308.93 and 108.44

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Solution

The fourth proportional to 206.06, 308.93 and 108.44 is: 162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.06 : 308.93 = 108.44 : x
  2. Step 2: Convert to fraction form
    206.06/308.93 = 108.44/x
  3. Step 3: Cross multiply
    206.06x = 308.93 × 108.44
  4. Step 4: Simplify right side
    206.06x = 33,499.10
  5. Step 5: Solve for x
    x = 33,499.10/206.06
  6. Step 6: Final answer
    x = 162.57

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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.