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Finding the Fourth Proportional to 511.85, 767.85 and 165.23

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Solution

The fourth proportional to 511.85, 767.85 and 165.23 is: 247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.85 : 767.85 = 165.23 : x
  2. Step 2: Convert to fraction form
    511.85/767.85 = 165.23/x
  3. Step 3: Cross multiply
    511.85x = 767.85 × 165.23
  4. Step 4: Simplify right side
    511.85x = 126,871.86
  5. Step 5: Solve for x
    x = 126,871.86/511.85
  6. Step 6: Final answer
    x = 247.87

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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.