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Finding the Fourth Proportional to 224.05, 309.56 and 161.75

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Solution

The fourth proportional to 224.05, 309.56 and 161.75 is: 223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.05 : 309.56 = 161.75 : x
  2. Step 2: Convert to fraction form
    224.05/309.56 = 161.75/x
  3. Step 3: Cross multiply
    224.05x = 309.56 × 161.75
  4. Step 4: Simplify right side
    224.05x = 50,071.30
  5. Step 5: Solve for x
    x = 50,071.30/224.05
  6. Step 6: Final answer
    x = 223.49

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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.