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Finding the Fourth Proportional to 626.47, 939.63 and 164.23

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Solution

The fourth proportional to 626.47, 939.63 and 164.23 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.47 : 939.63 = 164.23 : x
  2. Step 2: Convert to fraction form
    626.47/939.63 = 164.23/x
  3. Step 3: Cross multiply
    626.47x = 939.63 × 164.23
  4. Step 4: Simplify right side
    626.47x = 154,313.70
  5. Step 5: Solve for x
    x = 154,313.70/626.47
  6. Step 6: Final answer
    x = 246.32

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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.