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Finding the Fourth Proportional to 511.09, 766.55 and 164.36

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Solution

The fourth proportional to 511.09, 766.55 and 164.36 is: 246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.09 : 766.55 = 164.36 : x
  2. Step 2: Convert to fraction form
    511.09/766.55 = 164.36/x
  3. Step 3: Cross multiply
    511.09x = 766.55 × 164.36
  4. Step 4: Simplify right side
    511.09x = 125,992.49
  5. Step 5: Solve for x
    x = 125,992.49/511.09
  6. Step 6: Final answer
    x = 246.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.