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Finding the Fourth Proportional to 180.38, 248.91 and 106.73

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Solution

The fourth proportional to 180.38, 248.91 and 106.73 is: 147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 248.91 = 106.73 : x
  2. Step 2: Convert to fraction form
    180.38/248.91 = 106.73/x
  3. Step 3: Cross multiply
    180.38x = 248.91 × 106.73
  4. Step 4: Simplify right side
    180.38x = 26,566.16
  5. Step 5: Solve for x
    x = 26,566.16/180.38
  6. Step 6: Final answer
    x = 147.28

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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.