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Finding the Fourth Proportional to 239.52, 330.52 and 162

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Solution

The fourth proportional to 239.52, 330.52 and 162 is: 223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.52 : 330.52 = 162 : x
  2. Step 2: Convert to fraction form
    239.52/330.52 = 162/x
  3. Step 3: Cross multiply
    239.52x = 330.52 × 162
  4. Step 4: Simplify right side
    239.52x = 53,544.24
  5. Step 5: Solve for x
    x = 53,544.24/239.52
  6. Step 6: Final answer
    x = 223.55

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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.