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Finding the Fourth Proportional to 237.74, 327.83 and 164.07

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Solution

The fourth proportional to 237.74, 327.83 and 164.07 is: 226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.74 : 327.83 = 164.07 : x
  2. Step 2: Convert to fraction form
    237.74/327.83 = 164.07/x
  3. Step 3: Cross multiply
    237.74x = 327.83 × 164.07
  4. Step 4: Simplify right side
    237.74x = 53,786.25
  5. Step 5: Solve for x
    x = 53,786.25/237.74
  6. Step 6: Final answer
    x = 226.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.