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Finding the Fourth Proportional to 174.60, 239.73 and 141.60

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Solution

The fourth proportional to 174.60, 239.73 and 141.60 is: 194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.60 : 239.73 = 141.60 : x
  2. Step 2: Convert to fraction form
    174.60/239.73 = 141.60/x
  3. Step 3: Cross multiply
    174.60x = 239.73 × 141.60
  4. Step 4: Simplify right side
    174.60x = 33,945.77
  5. Step 5: Solve for x
    x = 33,945.77/174.60
  6. Step 6: Final answer
    x = 194.42

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Why These Related Problems?

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