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Finding the Fourth Proportional to 627.56, 941.33 and 165.33

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Solution

The fourth proportional to 627.56, 941.33 and 165.33 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.56 : 941.33 = 165.33 : x
  2. Step 2: Convert to fraction form
    627.56/941.33 = 165.33/x
  3. Step 3: Cross multiply
    627.56x = 941.33 × 165.33
  4. Step 4: Simplify right side
    627.56x = 155,630.50
  5. Step 5: Solve for x
    x = 155,630.50/627.56
  6. Step 6: Final answer
    x = 247.99

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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.