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Finding the Fourth Proportional to 214.32, 321.69 and 111.69

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Solution

The fourth proportional to 214.32, 321.69 and 111.69 is: 167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 321.69 = 111.69 : x
  2. Step 2: Convert to fraction form
    214.32/321.69 = 111.69/x
  3. Step 3: Cross multiply
    214.32x = 321.69 × 111.69
  4. Step 4: Simplify right side
    214.32x = 35,929.56
  5. Step 5: Solve for x
    x = 35,929.56/214.32
  6. Step 6: Final answer
    x = 167.64

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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.