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Finding the Fourth Proportional to 143.82, 214.76 and 142.35

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Solution

The fourth proportional to 143.82, 214.76 and 142.35 is: 212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.82 : 214.76 = 142.35 : x
  2. Step 2: Convert to fraction form
    143.82/214.76 = 142.35/x
  3. Step 3: Cross multiply
    143.82x = 214.76 × 142.35
  4. Step 4: Simplify right side
    143.82x = 30,570.37
  5. Step 5: Solve for x
    x = 30,570.37/143.82
  6. Step 6: Final answer
    x = 212.56

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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.