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Finding the Fourth Proportional to 605.89, 908.89 and 194.92

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Solution

The fourth proportional to 605.89, 908.89 and 194.92 is: 292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.89 : 908.89 = 194.92 : x
  2. Step 2: Convert to fraction form
    605.89/908.89 = 194.92/x
  3. Step 3: Cross multiply
    605.89x = 908.89 × 194.92
  4. Step 4: Simplify right side
    605.89x = 177,164.29
  5. Step 5: Solve for x
    x = 177,164.29/605.89
  6. Step 6: Final answer
    x = 292.41

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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.