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Finding the Fourth Proportional to 334.06, 460.86 and 194.14

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Solution

The fourth proportional to 334.06, 460.86 and 194.14 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.06 : 460.86 = 194.14 : x
  2. Step 2: Convert to fraction form
    334.06/460.86 = 194.14/x
  3. Step 3: Cross multiply
    334.06x = 460.86 × 194.14
  4. Step 4: Simplify right side
    334.06x = 89,471.36
  5. Step 5: Solve for x
    x = 89,471.36/334.06
  6. Step 6: Final answer
    x = 267.83

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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.