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Finding the Fourth Proportional to 214.54, 321.84 and 133.27

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Solution

The fourth proportional to 214.54, 321.84 and 133.27 is: 199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.54 : 321.84 = 133.27 : x
  2. Step 2: Convert to fraction form
    214.54/321.84 = 133.27/x
  3. Step 3: Cross multiply
    214.54x = 321.84 × 133.27
  4. Step 4: Simplify right side
    214.54x = 42,890.81
  5. Step 5: Solve for x
    x = 42,890.81/214.54
  6. Step 6: Final answer
    x = 199.92

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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.