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Finding the Fourth Proportional to 298.31, 447.52 and 92.83

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Solution

The fourth proportional to 298.31, 447.52 and 92.83 is: 139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.31 : 447.52 = 92.83 : x
  2. Step 2: Convert to fraction form
    298.31/447.52 = 92.83/x
  3. Step 3: Cross multiply
    298.31x = 447.52 × 92.83
  4. Step 4: Simplify right side
    298.31x = 41,542.77
  5. Step 5: Solve for x
    x = 41,542.77/298.31
  6. Step 6: Final answer
    x = 139.26

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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.