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Finding the Fourth Proportional to 627.15, 940.82 and 194.34

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Solution

The fourth proportional to 627.15, 940.82 and 194.34 is: 291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.15 : 940.82 = 194.34 : x
  2. Step 2: Convert to fraction form
    627.15/940.82 = 194.34/x
  3. Step 3: Cross multiply
    627.15x = 940.82 × 194.34
  4. Step 4: Simplify right side
    627.15x = 182,837.99
  5. Step 5: Solve for x
    x = 182,837.99/627.15
  6. Step 6: Final answer
    x = 291.54

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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.