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Finding the Fourth Proportional to 298.93, 412.52 and 205.78

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Solution

The fourth proportional to 298.93, 412.52 and 205.78 is: 283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.93 : 412.52 = 205.78 : x
  2. Step 2: Convert to fraction form
    298.93/412.52 = 205.78/x
  3. Step 3: Cross multiply
    298.93x = 412.52 × 205.78
  4. Step 4: Simplify right side
    298.93x = 84,887.85
  5. Step 5: Solve for x
    x = 84,887.85/298.93
  6. Step 6: Final answer
    x = 283.97

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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.