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Finding the Fourth Proportional to 226.06, 339.01 and 211.48

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Solution

The fourth proportional to 226.06, 339.01 and 211.48 is: 317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.06 : 339.01 = 211.48 : x
  2. Step 2: Convert to fraction form
    226.06/339.01 = 211.48/x
  3. Step 3: Cross multiply
    226.06x = 339.01 × 211.48
  4. Step 4: Simplify right side
    226.06x = 71,693.83
  5. Step 5: Solve for x
    x = 71,693.83/226.06
  6. Step 6: Final answer
    x = 317.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.