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Finding the Fourth Proportional to 216.92, 326.62 and 180.67

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Solution

The fourth proportional to 216.92, 326.62 and 180.67 is: 272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.92 : 326.62 = 180.67 : x
  2. Step 2: Convert to fraction form
    216.92/326.62 = 180.67/x
  3. Step 3: Cross multiply
    216.92x = 326.62 × 180.67
  4. Step 4: Simplify right side
    216.92x = 59,010.44
  5. Step 5: Solve for x
    x = 59,010.44/216.92
  6. Step 6: Final answer
    x = 272.04

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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.