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Finding the Fourth Proportional to 214.05, 321.08 and 132.64

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Solution

The fourth proportional to 214.05, 321.08 and 132.64 is: 198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.05 : 321.08 = 132.64 : x
  2. Step 2: Convert to fraction form
    214.05/321.08 = 132.64/x
  3. Step 3: Cross multiply
    214.05x = 321.08 × 132.64
  4. Step 4: Simplify right side
    214.05x = 42,588.05
  5. Step 5: Solve for x
    x = 42,588.05/214.05
  6. Step 6: Final answer
    x = 198.96

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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.