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Finding the Fourth Proportional to 608.20, 911.72 and 197.04

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Solution

The fourth proportional to 608.20, 911.72 and 197.04 is: 295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.20 : 911.72 = 197.04 : x
  2. Step 2: Convert to fraction form
    608.20/911.72 = 197.04/x
  3. Step 3: Cross multiply
    608.20x = 911.72 × 197.04
  4. Step 4: Simplify right side
    608.20x = 179,645.31
  5. Step 5: Solve for x
    x = 179,645.31/608.20
  6. Step 6: Final answer
    x = 295.37

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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.