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Finding the Fourth Proportional to 224.32, 336.71 and 219.76

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Solution

The fourth proportional to 224.32, 336.71 and 219.76 is: 329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.32 : 336.71 = 219.76 : x
  2. Step 2: Convert to fraction form
    224.32/336.71 = 219.76/x
  3. Step 3: Cross multiply
    224.32x = 336.71 × 219.76
  4. Step 4: Simplify right side
    224.32x = 73,995.76
  5. Step 5: Solve for x
    x = 73,995.76/224.32
  6. Step 6: Final answer
    x = 329.87

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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.