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Finding the Fourth Proportional to 275.04, 413.10 and 159.84

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Solution

The fourth proportional to 275.04, 413.10 and 159.84 is: 240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.04 : 413.10 = 159.84 : x
  2. Step 2: Convert to fraction form
    275.04/413.10 = 159.84/x
  3. Step 3: Cross multiply
    275.04x = 413.10 × 159.84
  4. Step 4: Simplify right side
    275.04x = 66,029.90
  5. Step 5: Solve for x
    x = 66,029.90/275.04
  6. Step 6: Final answer
    x = 240.07

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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.