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Finding the Fourth Proportional to 298.14, 411.23 and 209.81

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Solution

The fourth proportional to 298.14, 411.23 and 209.81 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.14 : 411.23 = 209.81 : x
  2. Step 2: Convert to fraction form
    298.14/411.23 = 209.81/x
  3. Step 3: Cross multiply
    298.14x = 411.23 × 209.81
  4. Step 4: Simplify right side
    298.14x = 86,278.23
  5. Step 5: Solve for x
    x = 86,278.23/298.14
  6. Step 6: Final answer
    x = 289.39

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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.