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Finding the Fourth Proportional to 174.26, 239.82 and 162.38

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Solution

The fourth proportional to 174.26, 239.82 and 162.38 is: 223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.26 : 239.82 = 162.38 : x
  2. Step 2: Convert to fraction form
    174.26/239.82 = 162.38/x
  3. Step 3: Cross multiply
    174.26x = 239.82 × 162.38
  4. Step 4: Simplify right side
    174.26x = 38,941.97
  5. Step 5: Solve for x
    x = 38,941.97/174.26
  6. Step 6: Final answer
    x = 223.47

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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.