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Finding the Fourth Proportional to 351.67, 485.21 and 211.74

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Solution

The fourth proportional to 351.67, 485.21 and 211.74 is: 292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.67 : 485.21 = 211.74 : x
  2. Step 2: Convert to fraction form
    351.67/485.21 = 211.74/x
  3. Step 3: Cross multiply
    351.67x = 485.21 × 211.74
  4. Step 4: Simplify right side
    351.67x = 102,738.37
  5. Step 5: Solve for x
    x = 102,738.37/351.67
  6. Step 6: Final answer
    x = 292.14

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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.