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Finding the Fourth Proportional to 214.09, 295.42 and 120.83

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Solution

The fourth proportional to 214.09, 295.42 and 120.83 is: 166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.09 : 295.42 = 120.83 : x
  2. Step 2: Convert to fraction form
    214.09/295.42 = 120.83/x
  3. Step 3: Cross multiply
    214.09x = 295.42 × 120.83
  4. Step 4: Simplify right side
    214.09x = 35,694.05
  5. Step 5: Solve for x
    x = 35,694.05/214.09
  6. Step 6: Final answer
    x = 166.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.