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Finding the Fourth Proportional to 180.22, 270.37 and 128.74

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Solution

The fourth proportional to 180.22, 270.37 and 128.74 is: 193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.22 : 270.37 = 128.74 : x
  2. Step 2: Convert to fraction form
    180.22/270.37 = 128.74/x
  3. Step 3: Cross multiply
    180.22x = 270.37 × 128.74
  4. Step 4: Simplify right side
    180.22x = 34,807.43
  5. Step 5: Solve for x
    x = 34,807.43/180.22
  6. Step 6: Final answer
    x = 193.14

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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.