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Finding the Fourth Proportional to 214.21, 321.31 and 165.53

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Solution

The fourth proportional to 214.21, 321.31 and 165.53 is: 248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.21 : 321.31 = 165.53 : x
  2. Step 2: Convert to fraction form
    214.21/321.31 = 165.53/x
  3. Step 3: Cross multiply
    214.21x = 321.31 × 165.53
  4. Step 4: Simplify right side
    214.21x = 53,185.63
  5. Step 5: Solve for x
    x = 53,185.63/214.21
  6. Step 6: Final answer
    x = 248.29

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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.