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Finding the Fourth Proportional to 214.70, 321.29 and 133.58

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Solution

The fourth proportional to 214.70, 321.29 and 133.58 is: 199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.70 : 321.29 = 133.58 : x
  2. Step 2: Convert to fraction form
    214.70/321.29 = 133.58/x
  3. Step 3: Cross multiply
    214.70x = 321.29 × 133.58
  4. Step 4: Simplify right side
    214.70x = 42,917.92
  5. Step 5: Solve for x
    x = 42,917.92/214.70
  6. Step 6: Final answer
    x = 199.90

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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.