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Finding the Fourth Proportional to 627.70, 941.66 and 194.75

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Solution

The fourth proportional to 627.70, 941.66 and 194.75 is: 292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.70 : 941.66 = 194.75 : x
  2. Step 2: Convert to fraction form
    627.70/941.66 = 194.75/x
  3. Step 3: Cross multiply
    627.70x = 941.66 × 194.75
  4. Step 4: Simplify right side
    627.70x = 183,388.29
  5. Step 5: Solve for x
    x = 183,388.29/627.70
  6. Step 6: Final answer
    x = 292.16

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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.