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Finding the Fourth Proportional to 214.34, 321.44 and 92.54

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Solution

The fourth proportional to 214.34, 321.44 and 92.54 is: 138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.34 : 321.44 = 92.54 : x
  2. Step 2: Convert to fraction form
    214.34/321.44 = 92.54/x
  3. Step 3: Cross multiply
    214.34x = 321.44 × 92.54
  4. Step 4: Simplify right side
    214.34x = 29,746.40
  5. Step 5: Solve for x
    x = 29,746.40/214.34
  6. Step 6: Final answer
    x = 138.78

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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.