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Finding the Fourth Proportional to 180.20, 248.73 and 106.49

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Solution

The fourth proportional to 180.20, 248.73 and 106.49 is: 146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.20 : 248.73 = 106.49 : x
  2. Step 2: Convert to fraction form
    180.20/248.73 = 106.49/x
  3. Step 3: Cross multiply
    180.20x = 248.73 × 106.49
  4. Step 4: Simplify right side
    180.20x = 26,487.26
  5. Step 5: Solve for x
    x = 26,487.26/180.20
  6. Step 6: Final answer
    x = 146.99

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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.