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Finding the Fourth Proportional to 334.70, 461.66 and 203.61

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Solution

The fourth proportional to 334.70, 461.66 and 203.61 is: 280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.70 : 461.66 = 203.61 : x
  2. Step 2: Convert to fraction form
    334.70/461.66 = 203.61/x
  3. Step 3: Cross multiply
    334.70x = 461.66 × 203.61
  4. Step 4: Simplify right side
    334.70x = 93,997.57
  5. Step 5: Solve for x
    x = 93,997.57/334.70
  6. Step 6: Final answer
    x = 280.85

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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.