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Finding the Fourth Proportional to 239.70, 330.84 and 166.11

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Solution

The fourth proportional to 239.70, 330.84 and 166.11 is: 229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.70 : 330.84 = 166.11 : x
  2. Step 2: Convert to fraction form
    239.70/330.84 = 166.11/x
  3. Step 3: Cross multiply
    239.70x = 330.84 × 166.11
  4. Step 4: Simplify right side
    239.70x = 54,955.83
  5. Step 5: Solve for x
    x = 54,955.83/239.70
  6. Step 6: Final answer
    x = 229.27

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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.