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Finding the Fourth Proportional to 180.21, 248.63 and 106.48

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Solution

The fourth proportional to 180.21, 248.63 and 106.48 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.21 : 248.63 = 106.48 : x
  2. Step 2: Convert to fraction form
    180.21/248.63 = 106.48/x
  3. Step 3: Cross multiply
    180.21x = 248.63 × 106.48
  4. Step 4: Simplify right side
    180.21x = 26,474.12
  5. Step 5: Solve for x
    x = 26,474.12/180.21
  6. Step 6: Final answer
    x = 146.91

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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.