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Finding the Fourth Proportional to 238.64, 329.51 and 164.03

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Solution

The fourth proportional to 238.64, 329.51 and 164.03 is: 226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.64 : 329.51 = 164.03 : x
  2. Step 2: Convert to fraction form
    238.64/329.51 = 164.03/x
  3. Step 3: Cross multiply
    238.64x = 329.51 × 164.03
  4. Step 4: Simplify right side
    238.64x = 54,048.71
  5. Step 5: Solve for x
    x = 54,048.71/238.64
  6. Step 6: Final answer
    x = 226.49

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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.