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Finding the Fourth Proportional to 320.26, 480.42 and 127.78

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Solution

The fourth proportional to 320.26, 480.42 and 127.78 is: 191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.26 : 480.42 = 127.78 : x
  2. Step 2: Convert to fraction form
    320.26/480.42 = 127.78/x
  3. Step 3: Cross multiply
    320.26x = 480.42 × 127.78
  4. Step 4: Simplify right side
    320.26x = 61,388.07
  5. Step 5: Solve for x
    x = 61,388.07/320.26
  6. Step 6: Final answer
    x = 191.68

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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.