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Finding the Fourth Proportional to 219.28, 300.44 and 216.58

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Solution

The fourth proportional to 219.28, 300.44 and 216.58 is: 296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.28 : 300.44 = 216.58 : x
  2. Step 2: Convert to fraction form
    219.28/300.44 = 216.58/x
  3. Step 3: Cross multiply
    219.28x = 300.44 × 216.58
  4. Step 4: Simplify right side
    219.28x = 65,069.30
  5. Step 5: Solve for x
    x = 65,069.30/219.28
  6. Step 6: Final answer
    x = 296.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.