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Finding the Fourth Proportional to 627.14, 940.65 and 194.25

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Solution

The fourth proportional to 627.14, 940.65 and 194.25 is: 291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.14 : 940.65 = 194.25 : x
  2. Step 2: Convert to fraction form
    627.14/940.65 = 194.25/x
  3. Step 3: Cross multiply
    627.14x = 940.65 × 194.25
  4. Step 4: Simplify right side
    627.14x = 182,721.26
  5. Step 5: Solve for x
    x = 182,721.26/627.14
  6. Step 6: Final answer
    x = 291.36

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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.