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Finding the Fourth Proportional to 511.52, 766.97 and 164.71

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Solution

The fourth proportional to 511.52, 766.97 and 164.71 is: 246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.52 : 766.97 = 164.71 : x
  2. Step 2: Convert to fraction form
    511.52/766.97 = 164.71/x
  3. Step 3: Cross multiply
    511.52x = 766.97 × 164.71
  4. Step 4: Simplify right side
    511.52x = 126,326.22
  5. Step 5: Solve for x
    x = 126,326.22/511.52
  6. Step 6: Final answer
    x = 246.96

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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.