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Finding the Fourth Proportional to 298.83, 412.22 and 182.31

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Solution

The fourth proportional to 298.83, 412.22 and 182.31 is: 251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.83 : 412.22 = 182.31 : x
  2. Step 2: Convert to fraction form
    298.83/412.22 = 182.31/x
  3. Step 3: Cross multiply
    298.83x = 412.22 × 182.31
  4. Step 4: Simplify right side
    298.83x = 75,150.92
  5. Step 5: Solve for x
    x = 75,150.92/298.83
  6. Step 6: Final answer
    x = 251.48

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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.