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Finding the Fourth Proportional to 298.87, 412.44 and 166.12

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Solution

The fourth proportional to 298.87, 412.44 and 166.12 is: 229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.87 : 412.44 = 166.12 : x
  2. Step 2: Convert to fraction form
    298.87/412.44 = 166.12/x
  3. Step 3: Cross multiply
    298.87x = 412.44 × 166.12
  4. Step 4: Simplify right side
    298.87x = 68,512.88
  5. Step 5: Solve for x
    x = 68,512.88/298.87
  6. Step 6: Final answer
    x = 229.24

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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.