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Finding the Fourth Proportional to 298.68, 411.75 and 205.27

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Solution

The fourth proportional to 298.68, 411.75 and 205.27 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.68 : 411.75 = 205.27 : x
  2. Step 2: Convert to fraction form
    298.68/411.75 = 205.27/x
  3. Step 3: Cross multiply
    298.68x = 411.75 × 205.27
  4. Step 4: Simplify right side
    298.68x = 84,518.89
  5. Step 5: Solve for x
    x = 84,518.89/298.68
  6. Step 6: Final answer
    x = 282.98

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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.