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Finding the Fourth Proportional to 511.36, 767.22 and 186.76

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Solution

The fourth proportional to 511.36, 767.22 and 186.76 is: 280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.36 : 767.22 = 186.76 : x
  2. Step 2: Convert to fraction form
    511.36/767.22 = 186.76/x
  3. Step 3: Cross multiply
    511.36x = 767.22 × 186.76
  4. Step 4: Simplify right side
    511.36x = 143,286.01
  5. Step 5: Solve for x
    x = 143,286.01/511.36
  6. Step 6: Final answer
    x = 280.21

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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.