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Finding the Fourth Proportional to 237.80, 327.81 and 164

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Solution

The fourth proportional to 237.80, 327.81 and 164 is: 226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.80 : 327.81 = 164 : x
  2. Step 2: Convert to fraction form
    237.80/327.81 = 164/x
  3. Step 3: Cross multiply
    237.80x = 327.81 × 164
  4. Step 4: Simplify right side
    237.80x = 53,760.84
  5. Step 5: Solve for x
    x = 53,760.84/237.80
  6. Step 6: Final answer
    x = 226.08

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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.