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Finding the Fourth Proportional to 331.26, 457.18 and 214.62

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Solution

The fourth proportional to 331.26, 457.18 and 214.62 is: 296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.26 : 457.18 = 214.62 : x
  2. Step 2: Convert to fraction form
    331.26/457.18 = 214.62/x
  3. Step 3: Cross multiply
    331.26x = 457.18 × 214.62
  4. Step 4: Simplify right side
    331.26x = 98,119.97
  5. Step 5: Solve for x
    x = 98,119.97/331.26
  6. Step 6: Final answer
    x = 296.20

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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.