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Finding the Fourth Proportional to 231.37, 347.35 and 212.27

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Solution

The fourth proportional to 231.37, 347.35 and 212.27 is: 318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.37 : 347.35 = 212.27 : x
  2. Step 2: Convert to fraction form
    231.37/347.35 = 212.27/x
  3. Step 3: Cross multiply
    231.37x = 347.35 × 212.27
  4. Step 4: Simplify right side
    231.37x = 73,730.78
  5. Step 5: Solve for x
    x = 73,730.78/231.37
  6. Step 6: Final answer
    x = 318.67

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