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Finding the Fourth Proportional to 218.08, 326.61 and 172.11

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Solution

The fourth proportional to 218.08, 326.61 and 172.11 is: 257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.08 : 326.61 = 172.11 : x
  2. Step 2: Convert to fraction form
    218.08/326.61 = 172.11/x
  3. Step 3: Cross multiply
    218.08x = 326.61 × 172.11
  4. Step 4: Simplify right side
    218.08x = 56,212.85
  5. Step 5: Solve for x
    x = 56,212.85/218.08
  6. Step 6: Final answer
    x = 257.76

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