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Finding the Fourth Proportional to 205.83, 308.48 and 119.16

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Solution

The fourth proportional to 205.83, 308.48 and 119.16 is: 178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 308.48 = 119.16 : x
  2. Step 2: Convert to fraction form
    205.83/308.48 = 119.16/x
  3. Step 3: Cross multiply
    205.83x = 308.48 × 119.16
  4. Step 4: Simplify right side
    205.83x = 36,757.88
  5. Step 5: Solve for x
    x = 36,757.88/205.83
  6. Step 6: Final answer
    x = 178.58

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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.