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Finding the Fourth Proportional to 205.92, 308.45 and 107.07

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Solution

The fourth proportional to 205.92, 308.45 and 107.07 is: 160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 308.45 = 107.07 : x
  2. Step 2: Convert to fraction form
    205.92/308.45 = 107.07/x
  3. Step 3: Cross multiply
    205.92x = 308.45 × 107.07
  4. Step 4: Simplify right side
    205.92x = 33,025.74
  5. Step 5: Solve for x
    x = 33,025.74/205.92
  6. Step 6: Final answer
    x = 160.38

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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.