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Finding the Fourth Proportional to 275.58, 413.14 and 198.34

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Solution

The fourth proportional to 275.58, 413.14 and 198.34 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.58 : 413.14 = 198.34 : x
  2. Step 2: Convert to fraction form
    275.58/413.14 = 198.34/x
  3. Step 3: Cross multiply
    275.58x = 413.14 × 198.34
  4. Step 4: Simplify right side
    275.58x = 81,942.19
  5. Step 5: Solve for x
    x = 81,942.19/275.58
  6. Step 6: Final answer
    x = 297.34

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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.