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Finding the Fourth Proportional to 275.90, 413.31 and 153.79

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Solution

The fourth proportional to 275.90, 413.31 and 153.79 is: 230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.90 : 413.31 = 153.79 : x
  2. Step 2: Convert to fraction form
    275.90/413.31 = 153.79/x
  3. Step 3: Cross multiply
    275.90x = 413.31 × 153.79
  4. Step 4: Simplify right side
    275.90x = 63,560.88
  5. Step 5: Solve for x
    x = 63,560.88/275.90
  6. Step 6: Final answer
    x = 230.38

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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.