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Finding the Fourth Proportional to 275.42, 413.54 and 159.98

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Solution

The fourth proportional to 275.42, 413.54 and 159.98 is: 240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.42 : 413.54 = 159.98 : x
  2. Step 2: Convert to fraction form
    275.42/413.54 = 159.98/x
  3. Step 3: Cross multiply
    275.42x = 413.54 × 159.98
  4. Step 4: Simplify right side
    275.42x = 66,158.13
  5. Step 5: Solve for x
    x = 66,158.13/275.42
  6. Step 6: Final answer
    x = 240.21

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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.