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Finding the Fourth Proportional to 180.22, 268.52 and 168.43

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Solution

The fourth proportional to 180.22, 268.52 and 168.43 is: 250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.22 : 268.52 = 168.43 : x
  2. Step 2: Convert to fraction form
    180.22/268.52 = 168.43/x
  3. Step 3: Cross multiply
    180.22x = 268.52 × 168.43
  4. Step 4: Simplify right side
    180.22x = 45,226.82
  5. Step 5: Solve for x
    x = 45,226.82/180.22
  6. Step 6: Final answer
    x = 250.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.