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Finding the Fourth Proportional to 334.89, 462.06 and 194.97

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Solution

The fourth proportional to 334.89, 462.06 and 194.97 is: 269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.89 : 462.06 = 194.97 : x
  2. Step 2: Convert to fraction form
    334.89/462.06 = 194.97/x
  3. Step 3: Cross multiply
    334.89x = 462.06 × 194.97
  4. Step 4: Simplify right side
    334.89x = 90,087.84
  5. Step 5: Solve for x
    x = 90,087.84/334.89
  6. Step 6: Final answer
    x = 269.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.