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Finding the Fourth Proportional to 214.13, 321.15 and 92.43

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Solution

The fourth proportional to 214.13, 321.15 and 92.43 is: 138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.13 : 321.15 = 92.43 : x
  2. Step 2: Convert to fraction form
    214.13/321.15 = 92.43/x
  3. Step 3: Cross multiply
    214.13x = 321.15 × 92.43
  4. Step 4: Simplify right side
    214.13x = 29,683.89
  5. Step 5: Solve for x
    x = 29,683.89/214.13
  6. Step 6: Final answer
    x = 138.63

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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.