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Finding the Fourth Proportional to 272.02, 408.23 and 218.56

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Solution

The fourth proportional to 272.02, 408.23 and 218.56 is: 328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.02 : 408.23 = 218.56 : x
  2. Step 2: Convert to fraction form
    272.02/408.23 = 218.56/x
  3. Step 3: Cross multiply
    272.02x = 408.23 × 218.56
  4. Step 4: Simplify right side
    272.02x = 89,222.75
  5. Step 5: Solve for x
    x = 89,222.75/272.02
  6. Step 6: Final answer
    x = 328.00

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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.