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Finding the Fourth Proportional to 511.69, 767.66 and 165.03

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Solution

The fourth proportional to 511.69, 767.66 and 165.03 is: 247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.69 : 767.66 = 165.03 : x
  2. Step 2: Convert to fraction form
    511.69/767.66 = 165.03/x
  3. Step 3: Cross multiply
    511.69x = 767.66 × 165.03
  4. Step 4: Simplify right side
    511.69x = 126,686.93
  5. Step 5: Solve for x
    x = 126,686.93/511.69
  6. Step 6: Final answer
    x = 247.59

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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.