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Finding the Fourth Proportional to 298.85, 448.27 and 82.42

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Solution

The fourth proportional to 298.85, 448.27 and 82.42 is: 123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.85 : 448.27 = 82.42 : x
  2. Step 2: Convert to fraction form
    298.85/448.27 = 82.42/x
  3. Step 3: Cross multiply
    298.85x = 448.27 × 82.42
  4. Step 4: Simplify right side
    298.85x = 36,945.09
  5. Step 5: Solve for x
    x = 36,945.09/298.85
  6. Step 6: Final answer
    x = 123.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.