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Finding the Fourth Proportional to 144.80, 218.25 and 136.43

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Solution

The fourth proportional to 144.80, 218.25 and 136.43 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.80 : 218.25 = 136.43 : x
  2. Step 2: Convert to fraction form
    144.80/218.25 = 136.43/x
  3. Step 3: Cross multiply
    144.80x = 218.25 × 136.43
  4. Step 4: Simplify right side
    144.80x = 29,774.76
  5. Step 5: Solve for x
    x = 29,774.76/144.80
  6. Step 6: Final answer
    x = 205.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.