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Finding the Fourth Proportional to 205.94, 308.91 and 120.38

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Solution

The fourth proportional to 205.94, 308.91 and 120.38 is: 180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 308.91 = 120.38 : x
  2. Step 2: Convert to fraction form
    205.94/308.91 = 120.38/x
  3. Step 3: Cross multiply
    205.94x = 308.91 × 120.38
  4. Step 4: Simplify right side
    205.94x = 37,186.59
  5. Step 5: Solve for x
    x = 37,186.59/205.94
  6. Step 6: Final answer
    x = 180.57

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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.