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Finding the Fourth Proportional to 298.96, 412.75 and 205.67

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Solution

The fourth proportional to 298.96, 412.75 and 205.67 is: 283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.96 : 412.75 = 205.67 : x
  2. Step 2: Convert to fraction form
    298.96/412.75 = 205.67/x
  3. Step 3: Cross multiply
    298.96x = 412.75 × 205.67
  4. Step 4: Simplify right side
    298.96x = 84,890.29
  5. Step 5: Solve for x
    x = 84,890.29/298.96
  6. Step 6: Final answer
    x = 283.95

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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.