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Finding the Fourth Proportional to 238.98, 329.64 and 165.16

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Solution

The fourth proportional to 238.98, 329.64 and 165.16 is: 227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.98 : 329.64 = 165.16 : x
  2. Step 2: Convert to fraction form
    238.98/329.64 = 165.16/x
  3. Step 3: Cross multiply
    238.98x = 329.64 × 165.16
  4. Step 4: Simplify right side
    238.98x = 54,443.34
  5. Step 5: Solve for x
    x = 54,443.34/238.98
  6. Step 6: Final answer
    x = 227.82

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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.