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Finding the Fourth Proportional to 511.89, 767.89 and 187.22

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Solution

The fourth proportional to 511.89, 767.89 and 187.22 is: 280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.89 : 767.89 = 187.22 : x
  2. Step 2: Convert to fraction form
    511.89/767.89 = 187.22/x
  3. Step 3: Cross multiply
    511.89x = 767.89 × 187.22
  4. Step 4: Simplify right side
    511.89x = 143,764.37
  5. Step 5: Solve for x
    x = 143,764.37/511.89
  6. Step 6: Final answer
    x = 280.85

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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.