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Finding the Fourth Proportional to 143.52, 214.22 and 142.32

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Solution

The fourth proportional to 143.52, 214.22 and 142.32 is: 212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.52 : 214.22 = 142.32 : x
  2. Step 2: Convert to fraction form
    143.52/214.22 = 142.32/x
  3. Step 3: Cross multiply
    143.52x = 214.22 × 142.32
  4. Step 4: Simplify right side
    143.52x = 30,487.79
  5. Step 5: Solve for x
    x = 30,487.79/143.52
  6. Step 6: Final answer
    x = 212.43

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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.