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Finding the Fourth Proportional to 329.65, 454.92 and 182.28

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Solution

The fourth proportional to 329.65, 454.92 and 182.28 is: 251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.65 : 454.92 = 182.28 : x
  2. Step 2: Convert to fraction form
    329.65/454.92 = 182.28/x
  3. Step 3: Cross multiply
    329.65x = 454.92 × 182.28
  4. Step 4: Simplify right side
    329.65x = 82,922.82
  5. Step 5: Solve for x
    x = 82,922.82/329.65
  6. Step 6: Final answer
    x = 251.55

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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.