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Finding the Fourth Proportional to 180.32, 270.24 and 137.60

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Solution

The fourth proportional to 180.32, 270.24 and 137.60 is: 206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.32 : 270.24 = 137.60 : x
  2. Step 2: Convert to fraction form
    180.32/270.24 = 137.60/x
  3. Step 3: Cross multiply
    180.32x = 270.24 × 137.60
  4. Step 4: Simplify right side
    180.32x = 37,185.02
  5. Step 5: Solve for x
    x = 37,185.02/180.32
  6. Step 6: Final answer
    x = 206.22

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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.