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Finding the Fourth Proportional to 627.93, 941.90 and 195.09

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Solution

The fourth proportional to 627.93, 941.90 and 195.09 is: 292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.93 : 941.90 = 195.09 : x
  2. Step 2: Convert to fraction form
    627.93/941.90 = 195.09/x
  3. Step 3: Cross multiply
    627.93x = 941.90 × 195.09
  4. Step 4: Simplify right side
    627.93x = 183,754.30
  5. Step 5: Solve for x
    x = 183,754.30/627.93
  6. Step 6: Final answer
    x = 292.64

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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.