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Finding the Fourth Proportional to 380.26, 570.49 and 160.78

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Solution

The fourth proportional to 380.26, 570.49 and 160.78 is: 241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.26 : 570.49 = 160.78 : x
  2. Step 2: Convert to fraction form
    380.26/570.49 = 160.78/x
  3. Step 3: Cross multiply
    380.26x = 570.49 × 160.78
  4. Step 4: Simplify right side
    380.26x = 91,721.92
  5. Step 5: Solve for x
    x = 91,721.92/380.26
  6. Step 6: Final answer
    x = 241.21

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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.