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Finding the Fourth Proportional to 216.87, 298.56 and 167.67

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Solution

The fourth proportional to 216.87, 298.56 and 167.67 is: 230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.87 : 298.56 = 167.67 : x
  2. Step 2: Convert to fraction form
    216.87/298.56 = 167.67/x
  3. Step 3: Cross multiply
    216.87x = 298.56 × 167.67
  4. Step 4: Simplify right side
    216.87x = 50,059.56
  5. Step 5: Solve for x
    x = 50,059.56/216.87
  6. Step 6: Final answer
    x = 230.83

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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.