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Finding the Fourth Proportional to 275.69, 380.41 and 157.61

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Solution

The fourth proportional to 275.69, 380.41 and 157.61 is: 217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.69 : 380.41 = 157.61 : x
  2. Step 2: Convert to fraction form
    275.69/380.41 = 157.61/x
  3. Step 3: Cross multiply
    275.69x = 380.41 × 157.61
  4. Step 4: Simplify right side
    275.69x = 59,956.98
  5. Step 5: Solve for x
    x = 59,956.98/275.69
  6. Step 6: Final answer
    x = 217.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.