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Finding the Fourth Proportional to 214.44, 321.96 and 133.44

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Solution

The fourth proportional to 214.44, 321.96 and 133.44 is: 200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.44 : 321.96 = 133.44 : x
  2. Step 2: Convert to fraction form
    214.44/321.96 = 133.44/x
  3. Step 3: Cross multiply
    214.44x = 321.96 × 133.44
  4. Step 4: Simplify right side
    214.44x = 42,962.34
  5. Step 5: Solve for x
    x = 42,962.34/214.44
  6. Step 6: Final answer
    x = 200.35

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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.