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Finding the Fourth Proportional to 214.28, 321.46 and 92.55

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Solution

The fourth proportional to 214.28, 321.46 and 92.55 is: 138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.28 : 321.46 = 92.55 : x
  2. Step 2: Convert to fraction form
    214.28/321.46 = 92.55/x
  3. Step 3: Cross multiply
    214.28x = 321.46 × 92.55
  4. Step 4: Simplify right side
    214.28x = 29,750.89
  5. Step 5: Solve for x
    x = 29,750.89/214.28
  6. Step 6: Final answer
    x = 138.84

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Why These Related Problems?

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