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Finding the Fourth Proportional to 216.81, 299.23 and 161.46

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Solution

The fourth proportional to 216.81, 299.23 and 161.46 is: 222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 299.23 = 161.46 : x
  2. Step 2: Convert to fraction form
    216.81/299.23 = 161.46/x
  3. Step 3: Cross multiply
    216.81x = 299.23 × 161.46
  4. Step 4: Simplify right side
    216.81x = 48,313.27
  5. Step 5: Solve for x
    x = 48,313.27/216.81
  6. Step 6: Final answer
    x = 222.84

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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.