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Finding the Fourth Proportional to 607.85, 911.97 and 196.99

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Solution

The fourth proportional to 607.85, 911.97 and 196.99 is: 295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.85 : 911.97 = 196.99 : x
  2. Step 2: Convert to fraction form
    607.85/911.97 = 196.99/x
  3. Step 3: Cross multiply
    607.85x = 911.97 × 196.99
  4. Step 4: Simplify right side
    607.85x = 179,646.69
  5. Step 5: Solve for x
    x = 179,646.69/607.85
  6. Step 6: Final answer
    x = 295.55

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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.