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Finding the Fourth Proportional to 214.77, 321.66 and 133.44

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Solution

The fourth proportional to 214.77, 321.66 and 133.44 is: 199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.77 : 321.66 = 133.44 : x
  2. Step 2: Convert to fraction form
    214.77/321.66 = 133.44/x
  3. Step 3: Cross multiply
    214.77x = 321.66 × 133.44
  4. Step 4: Simplify right side
    214.77x = 42,922.31
  5. Step 5: Solve for x
    x = 42,922.31/214.77
  6. Step 6: Final answer
    x = 199.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.