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Finding the Fourth Proportional to 216.41, 324.54 and 106.64

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Solution

The fourth proportional to 216.41, 324.54 and 106.64 is: 159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.41 : 324.54 = 106.64 : x
  2. Step 2: Convert to fraction form
    216.41/324.54 = 106.64/x
  3. Step 3: Cross multiply
    216.41x = 324.54 × 106.64
  4. Step 4: Simplify right side
    216.41x = 34,608.95
  5. Step 5: Solve for x
    x = 34,608.95/216.41
  6. Step 6: Final answer
    x = 159.92

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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.