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Finding the Fourth Proportional to 238.86, 329.68 and 165.28

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Solution

The fourth proportional to 238.86, 329.68 and 165.28 is: 228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.86 : 329.68 = 165.28 : x
  2. Step 2: Convert to fraction form
    238.86/329.68 = 165.28/x
  3. Step 3: Cross multiply
    238.86x = 329.68 × 165.28
  4. Step 4: Simplify right side
    238.86x = 54,489.51
  5. Step 5: Solve for x
    x = 54,489.51/238.86
  6. Step 6: Final answer
    x = 228.12

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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.