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Finding the Fourth Proportional to 140.36, 209.05 and 133

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Solution

The fourth proportional to 140.36, 209.05 and 133 is: 198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.36 : 209.05 = 133 : x
  2. Step 2: Convert to fraction form
    140.36/209.05 = 133/x
  3. Step 3: Cross multiply
    140.36x = 209.05 × 133
  4. Step 4: Simplify right side
    140.36x = 27,803.65
  5. Step 5: Solve for x
    x = 27,803.65/140.36
  6. Step 6: Final answer
    x = 198.09

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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.