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Finding the Fourth Proportional to 214.67, 321.75 and 111.92

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Solution

The fourth proportional to 214.67, 321.75 and 111.92 is: 167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.67 : 321.75 = 111.92 : x
  2. Step 2: Convert to fraction form
    214.67/321.75 = 111.92/x
  3. Step 3: Cross multiply
    214.67x = 321.75 × 111.92
  4. Step 4: Simplify right side
    214.67x = 36,008.65
  5. Step 5: Solve for x
    x = 36,008.65/214.67
  6. Step 6: Final answer
    x = 167.74

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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.