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Finding the Fourth Proportional to 627.70, 941.47 and 165.51

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Solution

The fourth proportional to 627.70, 941.47 and 165.51 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.70 : 941.47 = 165.51 : x
  2. Step 2: Convert to fraction form
    627.70/941.47 = 165.51/x
  3. Step 3: Cross multiply
    627.70x = 941.47 × 165.51
  4. Step 4: Simplify right side
    627.70x = 155,822.29
  5. Step 5: Solve for x
    x = 155,822.29/627.70
  6. Step 6: Final answer
    x = 248.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.