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Finding the Fourth Proportional to 174.03, 239.61 and 149.34

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Solution

The fourth proportional to 174.03, 239.61 and 149.34 is: 205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.03 : 239.61 = 149.34 : x
  2. Step 2: Convert to fraction form
    174.03/239.61 = 149.34/x
  3. Step 3: Cross multiply
    174.03x = 239.61 × 149.34
  4. Step 4: Simplify right side
    174.03x = 35,783.36
  5. Step 5: Solve for x
    x = 35,783.36/174.03
  6. Step 6: Final answer
    x = 205.62

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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.