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Finding the Fourth Proportional to 511.90, 767.91 and 165.11

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Solution

The fourth proportional to 511.90, 767.91 and 165.11 is: 247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.90 : 767.91 = 165.11 : x
  2. Step 2: Convert to fraction form
    511.90/767.91 = 165.11/x
  3. Step 3: Cross multiply
    511.90x = 767.91 × 165.11
  4. Step 4: Simplify right side
    511.90x = 126,791.54
  5. Step 5: Solve for x
    x = 126,791.54/511.90
  6. Step 6: Final answer
    x = 247.69

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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.