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Finding the Fourth Proportional to 239.97, 330.95 and 166.40

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Solution

The fourth proportional to 239.97, 330.95 and 166.40 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.97 : 330.95 = 166.40 : x
  2. Step 2: Convert to fraction form
    239.97/330.95 = 166.40/x
  3. Step 3: Cross multiply
    239.97x = 330.95 × 166.40
  4. Step 4: Simplify right side
    239.97x = 55,067.59
  5. Step 5: Solve for x
    x = 55,067.59/239.97
  6. Step 6: Final answer
    x = 229.48

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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.