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Finding the Fourth Proportional to 275.84, 413.49 and 102.38

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Solution

The fourth proportional to 275.84, 413.49 and 102.38 is: 153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.84 : 413.49 = 102.38 : x
  2. Step 2: Convert to fraction form
    275.84/413.49 = 102.38/x
  3. Step 3: Cross multiply
    275.84x = 413.49 × 102.38
  4. Step 4: Simplify right side
    275.84x = 42,335.35
  5. Step 5: Solve for x
    x = 42,335.35/275.84
  6. Step 6: Final answer
    x = 153.48

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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.