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Finding the Fourth Proportional to 605.90, 909 and 195.09

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Solution

The fourth proportional to 605.90, 909 and 195.09 is: 292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.90 : 909 = 195.09 : x
  2. Step 2: Convert to fraction form
    605.90/909 = 195.09/x
  3. Step 3: Cross multiply
    605.90x = 909 × 195.09
  4. Step 4: Simplify right side
    605.90x = 177,336.81
  5. Step 5: Solve for x
    x = 177,336.81/605.90
  6. Step 6: Final answer
    x = 292.69

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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.