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Finding the Fourth Proportional to 188.82, 260.49 and 149.49

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Solution

The fourth proportional to 188.82, 260.49 and 149.49 is: 206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.82 : 260.49 = 149.49 : x
  2. Step 2: Convert to fraction form
    188.82/260.49 = 149.49/x
  3. Step 3: Cross multiply
    188.82x = 260.49 × 149.49
  4. Step 4: Simplify right side
    188.82x = 38,940.65
  5. Step 5: Solve for x
    x = 38,940.65/188.82
  6. Step 6: Final answer
    x = 206.23

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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.