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Finding the Fourth Proportional to 143.67, 214.13 and 143.44

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Solution

The fourth proportional to 143.67, 214.13 and 143.44 is: 213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.67 : 214.13 = 143.44 : x
  2. Step 2: Convert to fraction form
    143.67/214.13 = 143.44/x
  3. Step 3: Cross multiply
    143.67x = 214.13 × 143.44
  4. Step 4: Simplify right side
    143.67x = 30,714.63
  5. Step 5: Solve for x
    x = 30,714.63/143.67
  6. Step 6: Final answer
    x = 213.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.