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Finding the Fourth Proportional to 214.31, 321.30 and 133.04

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Solution

The fourth proportional to 214.31, 321.30 and 133.04 is: 199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 321.30 = 133.04 : x
  2. Step 2: Convert to fraction form
    214.31/321.30 = 133.04/x
  3. Step 3: Cross multiply
    214.31x = 321.30 × 133.04
  4. Step 4: Simplify right side
    214.31x = 42,746.56
  5. Step 5: Solve for x
    x = 42,746.56/214.31
  6. Step 6: Final answer
    x = 199.46

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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.