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Finding the Fourth Proportional to 206.50, 309.74 and 69.54

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Solution

The fourth proportional to 206.50, 309.74 and 69.54 is: 104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.50 : 309.74 = 69.54 : x
  2. Step 2: Convert to fraction form
    206.50/309.74 = 69.54/x
  3. Step 3: Cross multiply
    206.50x = 309.74 × 69.54
  4. Step 4: Simplify right side
    206.50x = 21,539.32
  5. Step 5: Solve for x
    x = 21,539.32/206.50
  6. Step 6: Final answer
    x = 104.31

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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.