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Finding the Fourth Proportional to 216.81, 299.25 and 167.61

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Solution

The fourth proportional to 216.81, 299.25 and 167.61 is: 231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 299.25 = 167.61 : x
  2. Step 2: Convert to fraction form
    216.81/299.25 = 167.61/x
  3. Step 3: Cross multiply
    216.81x = 299.25 × 167.61
  4. Step 4: Simplify right side
    216.81x = 50,157.29
  5. Step 5: Solve for x
    x = 50,157.29/216.81
  6. Step 6: Final answer
    x = 231.34

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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.