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Finding the Fourth Proportional to 180.20, 248.10 and 168.20

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Solution

The fourth proportional to 180.20, 248.10 and 168.20 is: 231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.20 : 248.10 = 168.20 : x
  2. Step 2: Convert to fraction form
    180.20/248.10 = 168.20/x
  3. Step 3: Cross multiply
    180.20x = 248.10 × 168.20
  4. Step 4: Simplify right side
    180.20x = 41,730.42
  5. Step 5: Solve for x
    x = 41,730.42/180.20
  6. Step 6: Final answer
    x = 231.58

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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.