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Finding the Fourth Proportional to 214.19, 321.05 and 133.09

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Solution

The fourth proportional to 214.19, 321.05 and 133.09 is: 199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.19 : 321.05 = 133.09 : x
  2. Step 2: Convert to fraction form
    214.19/321.05 = 133.09/x
  3. Step 3: Cross multiply
    214.19x = 321.05 × 133.09
  4. Step 4: Simplify right side
    214.19x = 42,727.88
  5. Step 5: Solve for x
    x = 42,727.88/214.19
  6. Step 6: Final answer
    x = 199.48

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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.