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Finding the Fourth Proportional to 224.28, 309.90 and 180.54

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Solution

The fourth proportional to 224.28, 309.90 and 180.54 is: 249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.28 : 309.90 = 180.54 : x
  2. Step 2: Convert to fraction form
    224.28/309.90 = 180.54/x
  3. Step 3: Cross multiply
    224.28x = 309.90 × 180.54
  4. Step 4: Simplify right side
    224.28x = 55,949.35
  5. Step 5: Solve for x
    x = 55,949.35/224.28
  6. Step 6: Final answer
    x = 249.46

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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.