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Finding the Fourth Proportional to 518.25, 777.38 and 189.19

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Solution

The fourth proportional to 518.25, 777.38 and 189.19 is: 283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.25 : 777.38 = 189.19 : x
  2. Step 2: Convert to fraction form
    518.25/777.38 = 189.19/x
  3. Step 3: Cross multiply
    518.25x = 777.38 × 189.19
  4. Step 4: Simplify right side
    518.25x = 147,069.63
  5. Step 5: Solve for x
    x = 147,069.63/518.25
  6. Step 6: Final answer
    x = 283.78

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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.