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Finding the Fourth Proportional to 298.86, 412.26 and 205.56

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Solution

The fourth proportional to 298.86, 412.26 and 205.56 is: 283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.86 : 412.26 = 205.56 : x
  2. Step 2: Convert to fraction form
    298.86/412.26 = 205.56/x
  3. Step 3: Cross multiply
    298.86x = 412.26 × 205.56
  4. Step 4: Simplify right side
    298.86x = 84,746.29
  5. Step 5: Solve for x
    x = 84,746.29/298.86
  6. Step 6: Final answer
    x = 283.56

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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.