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Finding the Fourth Proportional to 216.41, 324.81 and 106.79

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Solution

The fourth proportional to 216.41, 324.81 and 106.79 is: 160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.41 : 324.81 = 106.79 : x
  2. Step 2: Convert to fraction form
    216.41/324.81 = 106.79/x
  3. Step 3: Cross multiply
    216.41x = 324.81 × 106.79
  4. Step 4: Simplify right side
    216.41x = 34,684.84
  5. Step 5: Solve for x
    x = 34,684.84/216.41
  6. Step 6: Final answer
    x = 160.28

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Why These Related Problems?

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