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Finding the Fourth Proportional to 627.09, 940.68 and 188.30

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Solution

The fourth proportional to 627.09, 940.68 and 188.30 is: 282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.09 : 940.68 = 188.30 : x
  2. Step 2: Convert to fraction form
    627.09/940.68 = 188.30/x
  3. Step 3: Cross multiply
    627.09x = 940.68 × 188.30
  4. Step 4: Simplify right side
    627.09x = 177,130.04
  5. Step 5: Solve for x
    x = 177,130.04/627.09
  6. Step 6: Final answer
    x = 282.46

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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.