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Finding the Fourth Proportional to 518.86, 778.31 and 172.22

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Solution

The fourth proportional to 518.86, 778.31 and 172.22 is: 258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.86 : 778.31 = 172.22 : x
  2. Step 2: Convert to fraction form
    518.86/778.31 = 172.22/x
  3. Step 3: Cross multiply
    518.86x = 778.31 × 172.22
  4. Step 4: Simplify right side
    518.86x = 134,040.55
  5. Step 5: Solve for x
    x = 134,040.55/518.86
  6. Step 6: Final answer
    x = 258.34

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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.