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Finding the Fourth Proportional to 626.51, 939.80 and 164.30

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Solution

The fourth proportional to 626.51, 939.80 and 164.30 is: 246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.51 : 939.80 = 164.30 : x
  2. Step 2: Convert to fraction form
    626.51/939.80 = 164.30/x
  3. Step 3: Cross multiply
    626.51x = 939.80 × 164.30
  4. Step 4: Simplify right side
    626.51x = 154,409.14
  5. Step 5: Solve for x
    x = 154,409.14/626.51
  6. Step 6: Final answer
    x = 246.46

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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.