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Finding the Fourth Proportional to 239.60, 330.84 and 166.16

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Solution

The fourth proportional to 239.60, 330.84 and 166.16 is: 229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.60 : 330.84 = 166.16 : x
  2. Step 2: Convert to fraction form
    239.60/330.84 = 166.16/x
  3. Step 3: Cross multiply
    239.60x = 330.84 × 166.16
  4. Step 4: Simplify right side
    239.60x = 54,972.37
  5. Step 5: Solve for x
    x = 54,972.37/239.60
  6. Step 6: Final answer
    x = 229.43

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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.