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Finding the Fourth Proportional to 219.57, 303.17 and 136.80

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Solution

The fourth proportional to 219.57, 303.17 and 136.80 is: 188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.57 : 303.17 = 136.80 : x
  2. Step 2: Convert to fraction form
    219.57/303.17 = 136.80/x
  3. Step 3: Cross multiply
    219.57x = 303.17 × 136.80
  4. Step 4: Simplify right side
    219.57x = 41,472.97
  5. Step 5: Solve for x
    x = 41,472.97/219.57
  6. Step 6: Final answer
    x = 188.88

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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.