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Finding the Fourth Proportional to 214.41, 321.64 and 92.65

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Solution

The fourth proportional to 214.41, 321.64 and 92.65 is: 138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.41 : 321.64 = 92.65 : x
  2. Step 2: Convert to fraction form
    214.41/321.64 = 92.65/x
  3. Step 3: Cross multiply
    214.41x = 321.64 × 92.65
  4. Step 4: Simplify right side
    214.41x = 29,799.95
  5. Step 5: Solve for x
    x = 29,799.95/214.41
  6. Step 6: Final answer
    x = 138.99

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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.