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Finding the Fourth Proportional to 238.52, 328.92 and 164.81

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Solution

The fourth proportional to 238.52, 328.92 and 164.81 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.52 : 328.92 = 164.81 : x
  2. Step 2: Convert to fraction form
    238.52/328.92 = 164.81/x
  3. Step 3: Cross multiply
    238.52x = 328.92 × 164.81
  4. Step 4: Simplify right side
    238.52x = 54,209.31
  5. Step 5: Solve for x
    x = 54,209.31/238.52
  6. Step 6: Final answer
    x = 227.27

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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.