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Finding the Fourth Proportional to 329.51, 454.71 and 182.14

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Solution

The fourth proportional to 329.51, 454.71 and 182.14 is: 251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.51 : 454.71 = 182.14 : x
  2. Step 2: Convert to fraction form
    329.51/454.71 = 182.14/x
  3. Step 3: Cross multiply
    329.51x = 454.71 × 182.14
  4. Step 4: Simplify right side
    329.51x = 82,819.74
  5. Step 5: Solve for x
    x = 82,819.74/329.51
  6. Step 6: Final answer
    x = 251.34

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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.