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Finding the Fourth Proportional to 275.82, 413.40 and 113.46

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Solution

The fourth proportional to 275.82, 413.40 and 113.46 is: 170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.82 : 413.40 = 113.46 : x
  2. Step 2: Convert to fraction form
    275.82/413.40 = 113.46/x
  3. Step 3: Cross multiply
    275.82x = 413.40 × 113.46
  4. Step 4: Simplify right side
    275.82x = 46,904.36
  5. Step 5: Solve for x
    x = 46,904.36/275.82
  6. Step 6: Final answer
    x = 170.05

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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.