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Finding the Fourth Proportional to 329.86, 455.19 and 180.47

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Solution

The fourth proportional to 329.86, 455.19 and 180.47 is: 249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.86 : 455.19 = 180.47 : x
  2. Step 2: Convert to fraction form
    329.86/455.19 = 180.47/x
  3. Step 3: Cross multiply
    329.86x = 455.19 × 180.47
  4. Step 4: Simplify right side
    329.86x = 82,148.60
  5. Step 5: Solve for x
    x = 82,148.60/329.86
  6. Step 6: Final answer
    x = 249.04

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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.