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Finding the Fourth Proportional to 224.06, 308.97 and 158.54

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Solution

The fourth proportional to 224.06, 308.97 and 158.54 is: 218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.06 : 308.97 = 158.54 : x
  2. Step 2: Convert to fraction form
    224.06/308.97 = 158.54/x
  3. Step 3: Cross multiply
    224.06x = 308.97 × 158.54
  4. Step 4: Simplify right side
    224.06x = 48,984.10
  5. Step 5: Solve for x
    x = 48,984.10/224.06
  6. Step 6: Final answer
    x = 218.62

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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.