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Finding the Fourth Proportional to 180, 248.36 and 106.31

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Solution

The fourth proportional to 180, 248.36 and 106.31 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 248.36 = 106.31 : x
  2. Step 2: Convert to fraction form
    180/248.36 = 106.31/x
  3. Step 3: Cross multiply
    180x = 248.36 × 106.31
  4. Step 4: Simplify right side
    180x = 26,403.24
  5. Step 5: Solve for x
    x = 26,403.24/180
  6. Step 6: Final answer
    x = 146.68

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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.