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Finding the Fourth Proportional to 767.44, 1,151.17 and 190.31

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Solution

The fourth proportional to 767.44, 1,151.17 and 190.31 is: 285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.44 : 1,151.17 = 190.31 : x
  2. Step 2: Convert to fraction form
    767.44/1,151.17 = 190.31/x
  3. Step 3: Cross multiply
    767.44x = 1,151.17 × 190.31
  4. Step 4: Simplify right side
    767.44x = 219,081.56
  5. Step 5: Solve for x
    x = 219,081.56/767.44
  6. Step 6: Final answer
    x = 285.47

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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.