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Finding the Fourth Proportional to 140.94, 209.66 and 134.73

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Solution

The fourth proportional to 140.94, 209.66 and 134.73 is: 200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.94 : 209.66 = 134.73 : x
  2. Step 2: Convert to fraction form
    140.94/209.66 = 134.73/x
  3. Step 3: Cross multiply
    140.94x = 209.66 × 134.73
  4. Step 4: Simplify right side
    140.94x = 28,246.82
  5. Step 5: Solve for x
    x = 28,246.82/140.94
  6. Step 6: Final answer
    x = 200.42

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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.