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Finding the Fourth Proportional to 511.36, 766.89 and 186.73

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Solution

The fourth proportional to 511.36, 766.89 and 186.73 is: 280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.36 : 766.89 = 186.73 : x
  2. Step 2: Convert to fraction form
    511.36/766.89 = 186.73/x
  3. Step 3: Cross multiply
    511.36x = 766.89 × 186.73
  4. Step 4: Simplify right side
    511.36x = 143,199.45
  5. Step 5: Solve for x
    x = 143,199.45/511.36
  6. Step 6: Final answer
    x = 280.04

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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.