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Finding the Fourth Proportional to 275.84, 413.75 and 198.95

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Solution

The fourth proportional to 275.84, 413.75 and 198.95 is: 298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.84 : 413.75 = 198.95 : x
  2. Step 2: Convert to fraction form
    275.84/413.75 = 198.95/x
  3. Step 3: Cross multiply
    275.84x = 413.75 × 198.95
  4. Step 4: Simplify right side
    275.84x = 82,312.50
  5. Step 5: Solve for x
    x = 82,312.50/275.84
  6. Step 6: Final answer
    x = 298.40

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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.