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Finding the Fourth Proportional to 627.05, 940.49 and 164.84

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Solution

The fourth proportional to 627.05, 940.49 and 164.84 is: 247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.05 : 940.49 = 164.84 : x
  2. Step 2: Convert to fraction form
    627.05/940.49 = 164.84/x
  3. Step 3: Cross multiply
    627.05x = 940.49 × 164.84
  4. Step 4: Simplify right side
    627.05x = 155,025.46
  5. Step 5: Solve for x
    x = 155,025.46/627.05
  6. Step 6: Final answer
    x = 247.23

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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.