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Finding the Fourth Proportional to 238.14, 328.50 and 164.42

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Solution

The fourth proportional to 238.14, 328.50 and 164.42 is: 226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 328.50 = 164.42 : x
  2. Step 2: Convert to fraction form
    238.14/328.50 = 164.42/x
  3. Step 3: Cross multiply
    238.14x = 328.50 × 164.42
  4. Step 4: Simplify right side
    238.14x = 54,011.97
  5. Step 5: Solve for x
    x = 54,011.97/238.14
  6. Step 6: Final answer
    x = 226.81

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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.