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Finding the Fourth Proportional to 274.10, 413.13 and 251.01

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Solution

The fourth proportional to 274.10, 413.13 and 251.01 is: 378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.10 : 413.13 = 251.01 : x
  2. Step 2: Convert to fraction form
    274.10/413.13 = 251.01/x
  3. Step 3: Cross multiply
    274.10x = 413.13 × 251.01
  4. Step 4: Simplify right side
    274.10x = 103,699.76
  5. Step 5: Solve for x
    x = 103,699.76/274.10
  6. Step 6: Final answer
    x = 378.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.