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Finding the Fourth Proportional to 298.96, 412.33 and 220.25

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Solution

The fourth proportional to 298.96, 412.33 and 220.25 is: 303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.96 : 412.33 = 220.25 : x
  2. Step 2: Convert to fraction form
    298.96/412.33 = 220.25/x
  3. Step 3: Cross multiply
    298.96x = 412.33 × 220.25
  4. Step 4: Simplify right side
    298.96x = 90,815.68
  5. Step 5: Solve for x
    x = 90,815.68/298.96
  6. Step 6: Final answer
    x = 303.77

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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.