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Finding the Fourth Proportional to 140.70, 209.63 and 133.82

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Solution

The fourth proportional to 140.70, 209.63 and 133.82 is: 199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.70 : 209.63 = 133.82 : x
  2. Step 2: Convert to fraction form
    140.70/209.63 = 133.82/x
  3. Step 3: Cross multiply
    140.70x = 209.63 × 133.82
  4. Step 4: Simplify right side
    140.70x = 28,052.69
  5. Step 5: Solve for x
    x = 28,052.69/140.70
  6. Step 6: Final answer
    x = 199.38

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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.