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Finding the Fourth Proportional to 275.80, 413.42 and 102.36

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Solution

The fourth proportional to 275.80, 413.42 and 102.36 is: 153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.80 : 413.42 = 102.36 : x
  2. Step 2: Convert to fraction form
    275.80/413.42 = 102.36/x
  3. Step 3: Cross multiply
    275.80x = 413.42 × 102.36
  4. Step 4: Simplify right side
    275.80x = 42,317.67
  5. Step 5: Solve for x
    x = 42,317.67/275.80
  6. Step 6: Final answer
    x = 153.44

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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.