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Finding the Fourth Proportional to 334.74, 461.70 and 194.82

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Solution

The fourth proportional to 334.74, 461.70 and 194.82 is: 268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.74 : 461.70 = 194.82 : x
  2. Step 2: Convert to fraction form
    334.74/461.70 = 194.82/x
  3. Step 3: Cross multiply
    334.74x = 461.70 × 194.82
  4. Step 4: Simplify right side
    334.74x = 89,948.39
  5. Step 5: Solve for x
    x = 89,948.39/334.74
  6. Step 6: Final answer
    x = 268.71

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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.