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Finding the Fourth Proportional to 511.67, 766.89 and 186.65

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Solution

The fourth proportional to 511.67, 766.89 and 186.65 is: 279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.67 : 766.89 = 186.65 : x
  2. Step 2: Convert to fraction form
    511.67/766.89 = 186.65/x
  3. Step 3: Cross multiply
    511.67x = 766.89 × 186.65
  4. Step 4: Simplify right side
    511.67x = 143,140.02
  5. Step 5: Solve for x
    x = 143,140.02/511.67
  6. Step 6: Final answer
    x = 279.75

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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.