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Finding the Fourth Proportional to 275.84, 413.71 and 113.54

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Solution

The fourth proportional to 275.84, 413.71 and 113.54 is: 170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.84 : 413.71 = 113.54 : x
  2. Step 2: Convert to fraction form
    275.84/413.71 = 113.54/x
  3. Step 3: Cross multiply
    275.84x = 413.71 × 113.54
  4. Step 4: Simplify right side
    275.84x = 46,970.28
  5. Step 5: Solve for x
    x = 46,970.28/275.84
  6. Step 6: Final answer
    x = 170.28

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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.