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Finding the Fourth Proportional to 238.28, 328.92 and 165

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Solution

The fourth proportional to 238.28, 328.92 and 165 is: 227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.28 : 328.92 = 165 : x
  2. Step 2: Convert to fraction form
    238.28/328.92 = 165/x
  3. Step 3: Cross multiply
    238.28x = 328.92 × 165
  4. Step 4: Simplify right side
    238.28x = 54,271.80
  5. Step 5: Solve for x
    x = 54,271.80/238.28
  6. Step 6: Final answer
    x = 227.76

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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.