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Finding the Fourth Proportional to 298.02, 410.96 and 198.46

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Solution

The fourth proportional to 298.02, 410.96 and 198.46 is: 273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.02 : 410.96 = 198.46 : x
  2. Step 2: Convert to fraction form
    298.02/410.96 = 198.46/x
  3. Step 3: Cross multiply
    298.02x = 410.96 × 198.46
  4. Step 4: Simplify right side
    298.02x = 81,559.12
  5. Step 5: Solve for x
    x = 81,559.12/298.02
  6. Step 6: Final answer
    x = 273.67

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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.