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Finding the Fourth Proportional to 338.30, 467.06 and 222.07

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Solution

The fourth proportional to 338.30, 467.06 and 222.07 is: 306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.30 : 467.06 = 222.07 : x
  2. Step 2: Convert to fraction form
    338.30/467.06 = 222.07/x
  3. Step 3: Cross multiply
    338.30x = 467.06 × 222.07
  4. Step 4: Simplify right side
    338.30x = 103,720.01
  5. Step 5: Solve for x
    x = 103,720.01/338.30
  6. Step 6: Final answer
    x = 306.59

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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.