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Finding the Fourth Proportional to 518.82, 778.08 and 153.54

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Solution

The fourth proportional to 518.82, 778.08 and 153.54 is: 230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.82 : 778.08 = 153.54 : x
  2. Step 2: Convert to fraction form
    518.82/778.08 = 153.54/x
  3. Step 3: Cross multiply
    518.82x = 778.08 × 153.54
  4. Step 4: Simplify right side
    518.82x = 119,466.40
  5. Step 5: Solve for x
    x = 119,466.40/518.82
  6. Step 6: Final answer
    x = 230.27

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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.