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Finding the Fourth Proportional to 238.47, 329.12 and 164.84

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Solution

The fourth proportional to 238.47, 329.12 and 164.84 is: 227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.47 : 329.12 = 164.84 : x
  2. Step 2: Convert to fraction form
    238.47/329.12 = 164.84/x
  3. Step 3: Cross multiply
    238.47x = 329.12 × 164.84
  4. Step 4: Simplify right side
    238.47x = 54,249.67
  5. Step 5: Solve for x
    x = 54,249.67/238.47
  6. Step 6: Final answer
    x = 227.49

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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.