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Finding the Fourth Proportional to 214.43, 321.43 and 159.44

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Solution

The fourth proportional to 214.43, 321.43 and 159.44 is: 239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.43 : 321.43 = 159.44 : x
  2. Step 2: Convert to fraction form
    214.43/321.43 = 159.44/x
  3. Step 3: Cross multiply
    214.43x = 321.43 × 159.44
  4. Step 4: Simplify right side
    214.43x = 51,248.80
  5. Step 5: Solve for x
    x = 51,248.80/214.43
  6. Step 6: Final answer
    x = 239.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.