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Finding the Fourth Proportional to 511.11, 766.36 and 186.37

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Solution

The fourth proportional to 511.11, 766.36 and 186.37 is: 279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.11 : 766.36 = 186.37 : x
  2. Step 2: Convert to fraction form
    511.11/766.36 = 186.37/x
  3. Step 3: Cross multiply
    511.11x = 766.36 × 186.37
  4. Step 4: Simplify right side
    511.11x = 142,826.51
  5. Step 5: Solve for x
    x = 142,826.51/511.11
  6. Step 6: Final answer
    x = 279.44

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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.