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Finding the Fourth Proportional to 298.98, 412.20 and 225.24

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Solution

The fourth proportional to 298.98, 412.20 and 225.24 is: 310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 412.20 = 225.24 : x
  2. Step 2: Convert to fraction form
    298.98/412.20 = 225.24/x
  3. Step 3: Cross multiply
    298.98x = 412.20 × 225.24
  4. Step 4: Simplify right side
    298.98x = 92,843.93
  5. Step 5: Solve for x
    x = 92,843.93/298.98
  6. Step 6: Final answer
    x = 310.54

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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.