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Finding the Fourth Proportional to 275.40, 413.14 and 113.08

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Solution

The fourth proportional to 275.40, 413.14 and 113.08 is: 169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.40 : 413.14 = 113.08 : x
  2. Step 2: Convert to fraction form
    275.40/413.14 = 113.08/x
  3. Step 3: Cross multiply
    275.40x = 413.14 × 113.08
  4. Step 4: Simplify right side
    275.40x = 46,717.87
  5. Step 5: Solve for x
    x = 46,717.87/275.40
  6. Step 6: Final answer
    x = 169.64

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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.