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Finding the Fourth Proportional to 218.22, 325.44 and 185.92

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Solution

The fourth proportional to 218.22, 325.44 and 185.92 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.22 : 325.44 = 185.92 : x
  2. Step 2: Convert to fraction form
    218.22/325.44 = 185.92/x
  3. Step 3: Cross multiply
    218.22x = 325.44 × 185.92
  4. Step 4: Simplify right side
    218.22x = 60,505.80
  5. Step 5: Solve for x
    x = 60,505.80/218.22
  6. Step 6: Final answer
    x = 277.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.