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Finding the Fourth Proportional to 275.23, 412.90 and 198.79

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Solution

The fourth proportional to 275.23, 412.90 and 198.79 is: 298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.23 : 412.90 = 198.79 : x
  2. Step 2: Convert to fraction form
    275.23/412.90 = 198.79/x
  3. Step 3: Cross multiply
    275.23x = 412.90 × 198.79
  4. Step 4: Simplify right side
    275.23x = 82,078.86
  5. Step 5: Solve for x
    x = 82,078.86/275.23
  6. Step 6: Final answer
    x = 298.22

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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.