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Finding the Fourth Proportional to 329.96, 455.33 and 182.58

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Solution

The fourth proportional to 329.96, 455.33 and 182.58 is: 251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 455.33 = 182.58 : x
  2. Step 2: Convert to fraction form
    329.96/455.33 = 182.58/x
  3. Step 3: Cross multiply
    329.96x = 455.33 × 182.58
  4. Step 4: Simplify right side
    329.96x = 83,134.15
  5. Step 5: Solve for x
    x = 83,134.15/329.96
  6. Step 6: Final answer
    x = 251.96

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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.