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Finding the Fourth Proportional to 518.31, 777.46 and 133.56

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Solution

The fourth proportional to 518.31, 777.46 and 133.56 is: 200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.31 : 777.46 = 133.56 : x
  2. Step 2: Convert to fraction form
    518.31/777.46 = 133.56/x
  3. Step 3: Cross multiply
    518.31x = 777.46 × 133.56
  4. Step 4: Simplify right side
    518.31x = 103,833.34
  5. Step 5: Solve for x
    x = 103,833.34/518.31
  6. Step 6: Final answer
    x = 200.33

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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.