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Finding the Fourth Proportional to 143.27, 214.86 and 120.59

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Solution

The fourth proportional to 143.27, 214.86 and 120.59 is: 180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.27 : 214.86 = 120.59 : x
  2. Step 2: Convert to fraction form
    143.27/214.86 = 120.59/x
  3. Step 3: Cross multiply
    143.27x = 214.86 × 120.59
  4. Step 4: Simplify right side
    143.27x = 25,909.97
  5. Step 5: Solve for x
    x = 25,909.97/143.27
  6. Step 6: Final answer
    x = 180.85

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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.