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Finding the Fourth Proportional to 238.30, 355.03 and 226.66

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Solution

The fourth proportional to 238.30, 355.03 and 226.66 is: 337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.30 : 355.03 = 226.66 : x
  2. Step 2: Convert to fraction form
    238.30/355.03 = 226.66/x
  3. Step 3: Cross multiply
    238.30x = 355.03 × 226.66
  4. Step 4: Simplify right side
    238.30x = 80,471.10
  5. Step 5: Solve for x
    x = 80,471.10/238.30
  6. Step 6: Final answer
    x = 337.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.