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Finding the Fourth Proportional to 303.44, 418.16 and 220.40

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Solution

The fourth proportional to 303.44, 418.16 and 220.40 is: 303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.44 : 418.16 = 220.40 : x
  2. Step 2: Convert to fraction form
    303.44/418.16 = 220.40/x
  3. Step 3: Cross multiply
    303.44x = 418.16 × 220.40
  4. Step 4: Simplify right side
    303.44x = 92,162.46
  5. Step 5: Solve for x
    x = 92,162.46/303.44
  6. Step 6: Final answer
    x = 303.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.