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Finding the Fourth Proportional to 606.98, 910.47 and 196.15

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Solution

The fourth proportional to 606.98, 910.47 and 196.15 is: 294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.98 : 910.47 = 196.15 : x
  2. Step 2: Convert to fraction form
    606.98/910.47 = 196.15/x
  3. Step 3: Cross multiply
    606.98x = 910.47 × 196.15
  4. Step 4: Simplify right side
    606.98x = 178,588.69
  5. Step 5: Solve for x
    x = 178,588.69/606.98
  6. Step 6: Final answer
    x = 294.23

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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.