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Finding the Fourth Proportional to 224.24, 308.77 and 219.44

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Solution

The fourth proportional to 224.24, 308.77 and 219.44 is: 302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.24 : 308.77 = 219.44 : x
  2. Step 2: Convert to fraction form
    224.24/308.77 = 219.44/x
  3. Step 3: Cross multiply
    224.24x = 308.77 × 219.44
  4. Step 4: Simplify right side
    224.24x = 67,756.71
  5. Step 5: Solve for x
    x = 67,756.71/224.24
  6. Step 6: Final answer
    x = 302.17

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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.