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Finding the Fourth Proportional to 185.28, 255.90 and 174.36

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Solution

The fourth proportional to 185.28, 255.90 and 174.36 is: 240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 255.90 = 174.36 : x
  2. Step 2: Convert to fraction form
    185.28/255.90 = 174.36/x
  3. Step 3: Cross multiply
    185.28x = 255.90 × 174.36
  4. Step 4: Simplify right side
    185.28x = 44,618.72
  5. Step 5: Solve for x
    x = 44,618.72/185.28
  6. Step 6: Final answer
    x = 240.82

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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.