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Finding the Fourth Proportional to 219.73, 303.09 and 136.77

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Solution

The fourth proportional to 219.73, 303.09 and 136.77 is: 188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.73 : 303.09 = 136.77 : x
  2. Step 2: Convert to fraction form
    219.73/303.09 = 136.77/x
  3. Step 3: Cross multiply
    219.73x = 303.09 × 136.77
  4. Step 4: Simplify right side
    219.73x = 41,453.62
  5. Step 5: Solve for x
    x = 41,453.62/219.73
  6. Step 6: Final answer
    x = 188.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.