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Finding the Fourth Proportional to 219.97, 303.54 and 121.71

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Solution

The fourth proportional to 219.97, 303.54 and 121.71 is: 167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.97 : 303.54 = 121.71 : x
  2. Step 2: Convert to fraction form
    219.97/303.54 = 121.71/x
  3. Step 3: Cross multiply
    219.97x = 303.54 × 121.71
  4. Step 4: Simplify right side
    219.97x = 36,942.64
  5. Step 5: Solve for x
    x = 36,942.64/219.97
  6. Step 6: Final answer
    x = 167.95

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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.