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Finding the Fourth Proportional to 511.92, 767.98 and 165.23

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Solution

The fourth proportional to 511.92, 767.98 and 165.23 is: 247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 767.98 = 165.23 : x
  2. Step 2: Convert to fraction form
    511.92/767.98 = 165.23/x
  3. Step 3: Cross multiply
    511.92x = 767.98 × 165.23
  4. Step 4: Simplify right side
    511.92x = 126,893.34
  5. Step 5: Solve for x
    x = 126,893.34/511.92
  6. Step 6: Final answer
    x = 247.88

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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.