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Finding the Fourth Proportional to 275.64, 413.04 and 131.16

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Solution

The fourth proportional to 275.64, 413.04 and 131.16 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.64 : 413.04 = 131.16 : x
  2. Step 2: Convert to fraction form
    275.64/413.04 = 131.16/x
  3. Step 3: Cross multiply
    275.64x = 413.04 × 131.16
  4. Step 4: Simplify right side
    275.64x = 54,174.33
  5. Step 5: Solve for x
    x = 54,174.33/275.64
  6. Step 6: Final answer
    x = 196.54

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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.