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Finding the Fourth Proportional to 218, 326.76 and 109.64

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Solution

The fourth proportional to 218, 326.76 and 109.64 is: 164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218 : 326.76 = 109.64 : x
  2. Step 2: Convert to fraction form
    218/326.76 = 109.64/x
  3. Step 3: Cross multiply
    218x = 326.76 × 109.64
  4. Step 4: Simplify right side
    218x = 35,825.97
  5. Step 5: Solve for x
    x = 35,825.97/218
  6. Step 6: Final answer
    x = 164.34

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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.