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Finding the Fourth Proportional to 214.62, 321.83 and 84.52

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Solution

The fourth proportional to 214.62, 321.83 and 84.52 is: 126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.62 : 321.83 = 84.52 : x
  2. Step 2: Convert to fraction form
    214.62/321.83 = 84.52/x
  3. Step 3: Cross multiply
    214.62x = 321.83 × 84.52
  4. Step 4: Simplify right side
    214.62x = 27,200.06
  5. Step 5: Solve for x
    x = 27,200.06/214.62
  6. Step 6: Final answer
    x = 126.74

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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.