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Finding the Fourth Proportional to 275.24, 413.10 and 177.80

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Solution

The fourth proportional to 275.24, 413.10 and 177.80 is: 266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.24 : 413.10 = 177.80 : x
  2. Step 2: Convert to fraction form
    275.24/413.10 = 177.80/x
  3. Step 3: Cross multiply
    275.24x = 413.10 × 177.80
  4. Step 4: Simplify right side
    275.24x = 73,449.18
  5. Step 5: Solve for x
    x = 73,449.18/275.24
  6. Step 6: Final answer
    x = 266.86

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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.