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Finding the Fourth Proportional to 626.66, 940.14 and 193.82

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Solution

The fourth proportional to 626.66, 940.14 and 193.82 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.66 : 940.14 = 193.82 : x
  2. Step 2: Convert to fraction form
    626.66/940.14 = 193.82/x
  3. Step 3: Cross multiply
    626.66x = 940.14 × 193.82
  4. Step 4: Simplify right side
    626.66x = 182,217.93
  5. Step 5: Solve for x
    x = 182,217.93/626.66
  6. Step 6: Final answer
    x = 290.78

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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.