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Finding the Fourth Proportional to 334.34, 461.34 and 194.49

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Solution

The fourth proportional to 334.34, 461.34 and 194.49 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.34 : 461.34 = 194.49 : x
  2. Step 2: Convert to fraction form
    334.34/461.34 = 194.49/x
  3. Step 3: Cross multiply
    334.34x = 461.34 × 194.49
  4. Step 4: Simplify right side
    334.34x = 89,726.02
  5. Step 5: Solve for x
    x = 89,726.02/334.34
  6. Step 6: Final answer
    x = 268.37

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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.