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Finding the Fourth Proportional to 351.74, 485.22 and 211.78

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Solution

The fourth proportional to 351.74, 485.22 and 211.78 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.74 : 485.22 = 211.78 : x
  2. Step 2: Convert to fraction form
    351.74/485.22 = 211.78/x
  3. Step 3: Cross multiply
    351.74x = 485.22 × 211.78
  4. Step 4: Simplify right side
    351.74x = 102,761.29
  5. Step 5: Solve for x
    x = 102,761.29/351.74
  6. Step 6: Final answer
    x = 292.15

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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.