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Finding the Fourth Proportional to 329.12, 454.25 and 218.75

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Solution

The fourth proportional to 329.12, 454.25 and 218.75 is: 301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.12 : 454.25 = 218.75 : x
  2. Step 2: Convert to fraction form
    329.12/454.25 = 218.75/x
  3. Step 3: Cross multiply
    329.12x = 454.25 × 218.75
  4. Step 4: Simplify right side
    329.12x = 99,363.82
  5. Step 5: Solve for x
    x = 99,363.82/329.12
  6. Step 6: Final answer
    x = 301.91

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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.