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Finding the Fourth Proportional to 174.20, 239.32 and 141.36

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Solution

The fourth proportional to 174.20, 239.32 and 141.36 is: 194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.20 : 239.32 = 141.36 : x
  2. Step 2: Convert to fraction form
    174.20/239.32 = 141.36/x
  3. Step 3: Cross multiply
    174.20x = 239.32 × 141.36
  4. Step 4: Simplify right side
    174.20x = 33,830.28
  5. Step 5: Solve for x
    x = 33,830.28/174.20
  6. Step 6: Final answer
    x = 194.20

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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.