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Finding the Fourth Proportional to 334.84, 462.10 and 194.96

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Solution

The fourth proportional to 334.84, 462.10 and 194.96 is: 269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.84 : 462.10 = 194.96 : x
  2. Step 2: Convert to fraction form
    334.84/462.10 = 194.96/x
  3. Step 3: Cross multiply
    334.84x = 462.10 × 194.96
  4. Step 4: Simplify right side
    334.84x = 90,091.02
  5. Step 5: Solve for x
    x = 90,091.02/334.84
  6. Step 6: Final answer
    x = 269.06

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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.