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Finding the Fourth Proportional to 627.51, 941.31 and 165.30

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Solution

The fourth proportional to 627.51, 941.31 and 165.30 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.51 : 941.31 = 165.30 : x
  2. Step 2: Convert to fraction form
    627.51/941.31 = 165.30/x
  3. Step 3: Cross multiply
    627.51x = 941.31 × 165.30
  4. Step 4: Simplify right side
    627.51x = 155,597.72
  5. Step 5: Solve for x
    x = 155,597.72/627.51
  6. Step 6: Final answer
    x = 247.96

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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.