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Finding the Fourth Proportional to 275.37, 413.11 and 153.77

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Solution

The fourth proportional to 275.37, 413.11 and 153.77 is: 230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.37 : 413.11 = 153.77 : x
  2. Step 2: Convert to fraction form
    275.37/413.11 = 153.77/x
  3. Step 3: Cross multiply
    275.37x = 413.11 × 153.77
  4. Step 4: Simplify right side
    275.37x = 63,523.92
  5. Step 5: Solve for x
    x = 63,523.92/275.37
  6. Step 6: Final answer
    x = 230.69

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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.