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Finding the Fourth Proportional to 144.43, 215.33 and 135.73

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Solution

The fourth proportional to 144.43, 215.33 and 135.73 is: 202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.43 : 215.33 = 135.73 : x
  2. Step 2: Convert to fraction form
    144.43/215.33 = 135.73/x
  3. Step 3: Cross multiply
    144.43x = 215.33 × 135.73
  4. Step 4: Simplify right side
    144.43x = 29,226.27
  5. Step 5: Solve for x
    x = 29,226.27/144.43
  6. Step 6: Final answer
    x = 202.35

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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.