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Finding the Fourth Proportional to 275.90, 413.83 and 102.49

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Solution

The fourth proportional to 275.90, 413.83 and 102.49 is: 153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.90 : 413.83 = 102.49 : x
  2. Step 2: Convert to fraction form
    275.90/413.83 = 102.49/x
  3. Step 3: Cross multiply
    275.90x = 413.83 × 102.49
  4. Step 4: Simplify right side
    275.90x = 42,412.97
  5. Step 5: Solve for x
    x = 42,412.97/275.90
  6. Step 6: Final answer
    x = 153.73

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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.