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Finding the Fourth Proportional to 205.34, 307.99 and 68.37

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Solution

The fourth proportional to 205.34, 307.99 and 68.37 is: 102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.34 : 307.99 = 68.37 : x
  2. Step 2: Convert to fraction form
    205.34/307.99 = 68.37/x
  3. Step 3: Cross multiply
    205.34x = 307.99 × 68.37
  4. Step 4: Simplify right side
    205.34x = 21,057.28
  5. Step 5: Solve for x
    x = 21,057.28/205.34
  6. Step 6: Final answer
    x = 102.55

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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.