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Finding the Fourth Proportional to 511, 766.38 and 164.24

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Solution

The fourth proportional to 511, 766.38 and 164.24 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511 : 766.38 = 164.24 : x
  2. Step 2: Convert to fraction form
    511/766.38 = 164.24/x
  3. Step 3: Cross multiply
    511x = 766.38 × 164.24
  4. Step 4: Simplify right side
    511x = 125,870.25
  5. Step 5: Solve for x
    x = 125,870.25/511
  6. Step 6: Final answer
    x = 246.32

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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.