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Finding the Fourth Proportional to 218.03, 326.82 and 96.26

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Solution

The fourth proportional to 218.03, 326.82 and 96.26 is: 144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.03 : 326.82 = 96.26 : x
  2. Step 2: Convert to fraction form
    218.03/326.82 = 96.26/x
  3. Step 3: Cross multiply
    218.03x = 326.82 × 96.26
  4. Step 4: Simplify right side
    218.03x = 31,458.06
  5. Step 5: Solve for x
    x = 31,458.06/218.03
  6. Step 6: Final answer
    x = 144.29

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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.