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Finding the Fourth Proportional to 275.92, 413.95 and 111.40

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Solution

The fourth proportional to 275.92, 413.95 and 111.40 is: 167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.92 : 413.95 = 111.40 : x
  2. Step 2: Convert to fraction form
    275.92/413.95 = 111.40/x
  3. Step 3: Cross multiply
    275.92x = 413.95 × 111.40
  4. Step 4: Simplify right side
    275.92x = 46,114.03
  5. Step 5: Solve for x
    x = 46,114.03/275.92
  6. Step 6: Final answer
    x = 167.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.