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Finding the Fourth Proportional to 143.18, 213.41 and 135.34

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Solution

The fourth proportional to 143.18, 213.41 and 135.34 is: 201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.18 : 213.41 = 135.34 : x
  2. Step 2: Convert to fraction form
    143.18/213.41 = 135.34/x
  3. Step 3: Cross multiply
    143.18x = 213.41 × 135.34
  4. Step 4: Simplify right side
    143.18x = 28,882.91
  5. Step 5: Solve for x
    x = 28,882.91/143.18
  6. Step 6: Final answer
    x = 201.72

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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.