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Finding the Fourth Proportional to 180.63, 248.97 and 149.65

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Solution

The fourth proportional to 180.63, 248.97 and 149.65 is: 206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.63 : 248.97 = 149.65 : x
  2. Step 2: Convert to fraction form
    180.63/248.97 = 149.65/x
  3. Step 3: Cross multiply
    180.63x = 248.97 × 149.65
  4. Step 4: Simplify right side
    180.63x = 37,258.30
  5. Step 5: Solve for x
    x = 37,258.30/180.63
  6. Step 6: Final answer
    x = 206.27

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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.