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Finding the Fourth Proportional to 237.64, 327.75 and 163.93

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Solution

The fourth proportional to 237.64, 327.75 and 163.93 is: 226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.64 : 327.75 = 163.93 : x
  2. Step 2: Convert to fraction form
    237.64/327.75 = 163.93/x
  3. Step 3: Cross multiply
    237.64x = 327.75 × 163.93
  4. Step 4: Simplify right side
    237.64x = 53,726.42
  5. Step 5: Solve for x
    x = 53,726.42/237.64
  6. Step 6: Final answer
    x = 226.09

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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.