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Finding the Fourth Proportional to 626.69, 940.12 and 193.74

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Solution

The fourth proportional to 626.69, 940.12 and 193.74 is: 290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.69 : 940.12 = 193.74 : x
  2. Step 2: Convert to fraction form
    626.69/940.12 = 193.74/x
  3. Step 3: Cross multiply
    626.69x = 940.12 × 193.74
  4. Step 4: Simplify right side
    626.69x = 182,138.36
  5. Step 5: Solve for x
    x = 182,138.36/626.69
  6. Step 6: Final answer
    x = 290.64

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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.