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Finding the Fourth Proportional to 329.93, 455.28 and 180.54

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Solution

The fourth proportional to 329.93, 455.28 and 180.54 is: 249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.93 : 455.28 = 180.54 : x
  2. Step 2: Convert to fraction form
    329.93/455.28 = 180.54/x
  3. Step 3: Cross multiply
    329.93x = 455.28 × 180.54
  4. Step 4: Simplify right side
    329.93x = 82,196.25
  5. Step 5: Solve for x
    x = 82,196.25/329.93
  6. Step 6: Final answer
    x = 249.14

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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.