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Finding the Fourth Proportional to 627.78, 941.40 and 194.88

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Solution

The fourth proportional to 627.78, 941.40 and 194.88 is: 292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.78 : 941.40 = 194.88 : x
  2. Step 2: Convert to fraction form
    627.78/941.40 = 194.88/x
  3. Step 3: Cross multiply
    627.78x = 941.40 × 194.88
  4. Step 4: Simplify right side
    627.78x = 183,460.03
  5. Step 5: Solve for x
    x = 183,460.03/627.78
  6. Step 6: Final answer
    x = 292.24

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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.