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Finding the Fourth Proportional to 338.21, 466.29 and 219.99

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Solution

The fourth proportional to 338.21, 466.29 and 219.99 is: 303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.21 : 466.29 = 219.99 : x
  2. Step 2: Convert to fraction form
    338.21/466.29 = 219.99/x
  3. Step 3: Cross multiply
    338.21x = 466.29 × 219.99
  4. Step 4: Simplify right side
    338.21x = 102,579.14
  5. Step 5: Solve for x
    x = 102,579.14/338.21
  6. Step 6: Final answer
    x = 303.30

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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.