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Finding the Fourth Proportional to 298.46, 412.07 and 205.18

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Solution

The fourth proportional to 298.46, 412.07 and 205.18 is: 283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.46 : 412.07 = 205.18 : x
  2. Step 2: Convert to fraction form
    298.46/412.07 = 205.18/x
  3. Step 3: Cross multiply
    298.46x = 412.07 × 205.18
  4. Step 4: Simplify right side
    298.46x = 84,546.47
  5. Step 5: Solve for x
    x = 84,546.47/298.46
  6. Step 6: Final answer
    x = 283.27

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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.