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Finding the Fourth Proportional to 275.77, 413.79 and 113.50

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Solution

The fourth proportional to 275.77, 413.79 and 113.50 is: 170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.77 : 413.79 = 113.50 : x
  2. Step 2: Convert to fraction form
    275.77/413.79 = 113.50/x
  3. Step 3: Cross multiply
    275.77x = 413.79 × 113.50
  4. Step 4: Simplify right side
    275.77x = 46,965.17
  5. Step 5: Solve for x
    x = 46,965.17/275.77
  6. Step 6: Final answer
    x = 170.31

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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.