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Finding the Fourth Proportional to 174.24, 239.04 and 163.20

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Solution

The fourth proportional to 174.24, 239.04 and 163.20 is: 223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 239.04 = 163.20 : x
  2. Step 2: Convert to fraction form
    174.24/239.04 = 163.20/x
  3. Step 3: Cross multiply
    174.24x = 239.04 × 163.20
  4. Step 4: Simplify right side
    174.24x = 39,011.33
  5. Step 5: Solve for x
    x = 39,011.33/174.24
  6. Step 6: Final answer
    x = 223.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.