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Finding the Fourth Proportional to 298.33, 411.43 and 204.93

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Solution

The fourth proportional to 298.33, 411.43 and 204.93 is: 282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.33 : 411.43 = 204.93 : x
  2. Step 2: Convert to fraction form
    298.33/411.43 = 204.93/x
  3. Step 3: Cross multiply
    298.33x = 411.43 × 204.93
  4. Step 4: Simplify right side
    298.33x = 84,314.22
  5. Step 5: Solve for x
    x = 84,314.22/298.33
  6. Step 6: Final answer
    x = 282.62

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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.