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Finding the Fourth Proportional to 626.92, 940.39 and 194.06

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Solution

The fourth proportional to 626.92, 940.39 and 194.06 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.92 : 940.39 = 194.06 : x
  2. Step 2: Convert to fraction form
    626.92/940.39 = 194.06/x
  3. Step 3: Cross multiply
    626.92x = 940.39 × 194.06
  4. Step 4: Simplify right side
    626.92x = 182,493.95
  5. Step 5: Solve for x
    x = 182,493.95/626.92
  6. Step 6: Final answer
    x = 291.10

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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.