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Finding the Fourth Proportional to 298.82, 412.11 and 225.02

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Solution

The fourth proportional to 298.82, 412.11 and 225.02 is: 310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.82 : 412.11 = 225.02 : x
  2. Step 2: Convert to fraction form
    298.82/412.11 = 225.02/x
  3. Step 3: Cross multiply
    298.82x = 412.11 × 225.02
  4. Step 4: Simplify right side
    298.82x = 92,730.93
  5. Step 5: Solve for x
    x = 92,730.93/298.82
  6. Step 6: Final answer
    x = 310.33

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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.