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Finding the Fourth Proportional to 298.82, 445.91 and 268.18

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Solution

The fourth proportional to 298.82, 445.91 and 268.18 is: 400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.82 : 445.91 = 268.18 : x
  2. Step 2: Convert to fraction form
    298.82/445.91 = 268.18/x
  3. Step 3: Cross multiply
    298.82x = 445.91 × 268.18
  4. Step 4: Simplify right side
    298.82x = 119,581.69
  5. Step 5: Solve for x
    x = 119,581.69/298.82
  6. Step 6: Final answer
    x = 400.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.