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Finding the Fourth Proportional to 238.66, 328.92 and 168.62

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Solution

The fourth proportional to 238.66, 328.92 and 168.62 is: 232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.66 : 328.92 = 168.62 : x
  2. Step 2: Convert to fraction form
    238.66/328.92 = 168.62/x
  3. Step 3: Cross multiply
    238.66x = 328.92 × 168.62
  4. Step 4: Simplify right side
    238.66x = 55,462.49
  5. Step 5: Solve for x
    x = 55,462.49/238.66
  6. Step 6: Final answer
    x = 232.39

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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.