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Finding the Fourth Proportional to 143.32, 214.80 and 119.32

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Solution

The fourth proportional to 143.32, 214.80 and 119.32 is: 178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.32 : 214.80 = 119.32 : x
  2. Step 2: Convert to fraction form
    143.32/214.80 = 119.32/x
  3. Step 3: Cross multiply
    143.32x = 214.80 × 119.32
  4. Step 4: Simplify right side
    143.32x = 25,629.94
  5. Step 5: Solve for x
    x = 25,629.94/143.32
  6. Step 6: Final answer
    x = 178.83

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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.