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Finding the Fourth Proportional to 238.46, 328.68 and 164.66

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Solution

The fourth proportional to 238.46, 328.68 and 164.66 is: 226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.46 : 328.68 = 164.66 : x
  2. Step 2: Convert to fraction form
    238.46/328.68 = 164.66/x
  3. Step 3: Cross multiply
    238.46x = 328.68 × 164.66
  4. Step 4: Simplify right side
    238.46x = 54,120.45
  5. Step 5: Solve for x
    x = 54,120.45/238.46
  6. Step 6: Final answer
    x = 226.96

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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.