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Finding the Fourth Proportional to 227.67, 343.26 and 212.01

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Solution

The fourth proportional to 227.67, 343.26 and 212.01 is: 319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.67 : 343.26 = 212.01 : x
  2. Step 2: Convert to fraction form
    227.67/343.26 = 212.01/x
  3. Step 3: Cross multiply
    227.67x = 343.26 × 212.01
  4. Step 4: Simplify right side
    227.67x = 72,774.55
  5. Step 5: Solve for x
    x = 72,774.55/227.67
  6. Step 6: Final answer
    x = 319.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.