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Finding the Fourth Proportional to 626.97, 940.46 and 194.14

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Solution

The fourth proportional to 626.97, 940.46 and 194.14 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.97 : 940.46 = 194.14 : x
  2. Step 2: Convert to fraction form
    626.97/940.46 = 194.14/x
  3. Step 3: Cross multiply
    626.97x = 940.46 × 194.14
  4. Step 4: Simplify right side
    626.97x = 182,577.46
  5. Step 5: Solve for x
    x = 182,577.46/626.97
  6. Step 6: Final answer
    x = 291.21

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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.