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Finding the Fourth Proportional to 329.86, 495.60 and 185.68

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Solution

The fourth proportional to 329.86, 495.60 and 185.68 is: 278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.86 : 495.60 = 185.68 : x
  2. Step 2: Convert to fraction form
    329.86/495.60 = 185.68/x
  3. Step 3: Cross multiply
    329.86x = 495.60 × 185.68
  4. Step 4: Simplify right side
    329.86x = 92,023.01
  5. Step 5: Solve for x
    x = 92,023.01/329.86
  6. Step 6: Final answer
    x = 278.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.