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Finding the Fourth Proportional to 206.50, 309.51 and 115.15

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Solution

The fourth proportional to 206.50, 309.51 and 115.15 is: 172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.50 : 309.51 = 115.15 : x
  2. Step 2: Convert to fraction form
    206.50/309.51 = 115.15/x
  3. Step 3: Cross multiply
    206.50x = 309.51 × 115.15
  4. Step 4: Simplify right side
    206.50x = 35,640.08
  5. Step 5: Solve for x
    x = 35,640.08/206.50
  6. Step 6: Final answer
    x = 172.59

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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.