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Finding the Fourth Proportional to 303.24, 418.80 and 226.04

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Solution

The fourth proportional to 303.24, 418.80 and 226.04 is: 312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.24 : 418.80 = 226.04 : x
  2. Step 2: Convert to fraction form
    303.24/418.80 = 226.04/x
  3. Step 3: Cross multiply
    303.24x = 418.80 × 226.04
  4. Step 4: Simplify right side
    303.24x = 94,665.55
  5. Step 5: Solve for x
    x = 94,665.55/303.24
  6. Step 6: Final answer
    x = 312.18

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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.