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Finding the Fourth Proportional to 329.14, 454.34 and 218.88

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Solution

The fourth proportional to 329.14, 454.34 and 218.88 is: 302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.14 : 454.34 = 218.88 : x
  2. Step 2: Convert to fraction form
    329.14/454.34 = 218.88/x
  3. Step 3: Cross multiply
    329.14x = 454.34 × 218.88
  4. Step 4: Simplify right side
    329.14x = 99,445.94
  5. Step 5: Solve for x
    x = 99,445.94/329.14
  6. Step 6: Final answer
    x = 302.14

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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.