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Finding the Fourth Proportional to 205.96, 308.65 and 160.09

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Solution

The fourth proportional to 205.96, 308.65 and 160.09 is: 239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.96 : 308.65 = 160.09 : x
  2. Step 2: Convert to fraction form
    205.96/308.65 = 160.09/x
  3. Step 3: Cross multiply
    205.96x = 308.65 × 160.09
  4. Step 4: Simplify right side
    205.96x = 49,411.78
  5. Step 5: Solve for x
    x = 49,411.78/205.96
  6. Step 6: Final answer
    x = 239.91

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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.