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Finding the Fourth Proportional to 275.55, 413.33 and 102.19

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Solution

The fourth proportional to 275.55, 413.33 and 102.19 is: 153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.55 : 413.33 = 102.19 : x
  2. Step 2: Convert to fraction form
    275.55/413.33 = 102.19/x
  3. Step 3: Cross multiply
    275.55x = 413.33 × 102.19
  4. Step 4: Simplify right side
    275.55x = 42,236.55
  5. Step 5: Solve for x
    x = 42,236.55/275.55
  6. Step 6: Final answer
    x = 153.28

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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.