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Finding the Fourth Proportional to 334.22, 461.21 and 186.84

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Solution

The fourth proportional to 334.22, 461.21 and 186.84 is: 257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.22 : 461.21 = 186.84 : x
  2. Step 2: Convert to fraction form
    334.22/461.21 = 186.84/x
  3. Step 3: Cross multiply
    334.22x = 461.21 × 186.84
  4. Step 4: Simplify right side
    334.22x = 86,171.54
  5. Step 5: Solve for x
    x = 86,171.54/334.22
  6. Step 6: Final answer
    x = 257.83

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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.