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Finding the Fourth Proportional to 143.10, 213.26 and 136.13

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Solution

The fourth proportional to 143.10, 213.26 and 136.13 is: 202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.10 : 213.26 = 136.13 : x
  2. Step 2: Convert to fraction form
    143.10/213.26 = 136.13/x
  3. Step 3: Cross multiply
    143.10x = 213.26 × 136.13
  4. Step 4: Simplify right side
    143.10x = 29,029.34
  5. Step 5: Solve for x
    x = 29,029.34/143.10
  6. Step 6: Final answer
    x = 202.86

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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.