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Finding the Fourth Proportional to 214.19, 321.17 and 105.85

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Solution

The fourth proportional to 214.19, 321.17 and 105.85 is: 158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.19 : 321.17 = 105.85 : x
  2. Step 2: Convert to fraction form
    214.19/321.17 = 105.85/x
  3. Step 3: Cross multiply
    214.19x = 321.17 × 105.85
  4. Step 4: Simplify right side
    214.19x = 33,995.31
  5. Step 5: Solve for x
    x = 33,995.31/214.19
  6. Step 6: Final answer
    x = 158.72

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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.