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Finding the Fourth Proportional to 238.31, 328.71 and 164.67

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Solution

The fourth proportional to 238.31, 328.71 and 164.67 is: 227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.31 : 328.71 = 164.67 : x
  2. Step 2: Convert to fraction form
    238.31/328.71 = 164.67/x
  3. Step 3: Cross multiply
    238.31x = 328.71 × 164.67
  4. Step 4: Simplify right side
    238.31x = 54,128.68
  5. Step 5: Solve for x
    x = 54,128.68/238.31
  6. Step 6: Final answer
    x = 227.14

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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.