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Finding the Fourth Proportional to 606.82, 910.34 and 196.06

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Solution

The fourth proportional to 606.82, 910.34 and 196.06 is: 294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.82 : 910.34 = 196.06 : x
  2. Step 2: Convert to fraction form
    606.82/910.34 = 196.06/x
  3. Step 3: Cross multiply
    606.82x = 910.34 × 196.06
  4. Step 4: Simplify right side
    606.82x = 178,481.26
  5. Step 5: Solve for x
    x = 178,481.26/606.82
  6. Step 6: Final answer
    x = 294.13

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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.