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Finding the Fourth Proportional to 180.07, 270.22 and 168.68

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Solution

The fourth proportional to 180.07, 270.22 and 168.68 is: 253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.07 : 270.22 = 168.68 : x
  2. Step 2: Convert to fraction form
    180.07/270.22 = 168.68/x
  3. Step 3: Cross multiply
    180.07x = 270.22 × 168.68
  4. Step 4: Simplify right side
    180.07x = 45,580.54
  5. Step 5: Solve for x
    x = 45,580.54/180.07
  6. Step 6: Final answer
    x = 253.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.