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Finding the Fourth Proportional to 218.24, 300.84 and 144.56

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Solution

The fourth proportional to 218.24, 300.84 and 144.56 is: 199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.24 : 300.84 = 144.56 : x
  2. Step 2: Convert to fraction form
    218.24/300.84 = 144.56/x
  3. Step 3: Cross multiply
    218.24x = 300.84 × 144.56
  4. Step 4: Simplify right side
    218.24x = 43,489.43
  5. Step 5: Solve for x
    x = 43,489.43/218.24
  6. Step 6: Final answer
    x = 199.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.