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Finding the Fourth Proportional to 275.68, 413.69 and 145.78

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Solution

The fourth proportional to 275.68, 413.69 and 145.78 is: 218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.68 : 413.69 = 145.78 : x
  2. Step 2: Convert to fraction form
    275.68/413.69 = 145.78/x
  3. Step 3: Cross multiply
    275.68x = 413.69 × 145.78
  4. Step 4: Simplify right side
    275.68x = 60,304.93
  5. Step 5: Solve for x
    x = 60,304.93/275.68
  6. Step 6: Final answer
    x = 218.75

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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.