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Finding the Fourth Proportional to 329.70, 455.00 and 182.34

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Solution

The fourth proportional to 329.70, 455.00 and 182.34 is: 251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.70 : 455.00 = 182.34 : x
  2. Step 2: Convert to fraction form
    329.70/455.00 = 182.34/x
  3. Step 3: Cross multiply
    329.70x = 455.00 × 182.34
  4. Step 4: Simplify right side
    329.70x = 82,963.79
  5. Step 5: Solve for x
    x = 82,963.79/329.70
  6. Step 6: Final answer
    x = 251.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.