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Finding the Fourth Proportional to 627.09, 940.64 and 164.87

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Solution

The fourth proportional to 627.09, 940.64 and 164.87 is: 247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.09 : 940.64 = 164.87 : x
  2. Step 2: Convert to fraction form
    627.09/940.64 = 164.87/x
  3. Step 3: Cross multiply
    627.09x = 940.64 × 164.87
  4. Step 4: Simplify right side
    627.09x = 155,077.79
  5. Step 5: Solve for x
    x = 155,077.79/627.09
  6. Step 6: Final answer
    x = 247.30

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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.