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Finding the Fourth Proportional to 239.76, 331.02 and 166.05

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Solution

The fourth proportional to 239.76, 331.02 and 166.05 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.76 : 331.02 = 166.05 : x
  2. Step 2: Convert to fraction form
    239.76/331.02 = 166.05/x
  3. Step 3: Cross multiply
    239.76x = 331.02 × 166.05
  4. Step 4: Simplify right side
    239.76x = 54,965.87
  5. Step 5: Solve for x
    x = 54,965.87/239.76
  6. Step 6: Final answer
    x = 229.25

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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.