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Finding the Fourth Proportional to 180.64, 270.64 and 95.20

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Solution

The fourth proportional to 180.64, 270.64 and 95.20 is: 142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.64 : 270.64 = 95.20 : x
  2. Step 2: Convert to fraction form
    180.64/270.64 = 95.20/x
  3. Step 3: Cross multiply
    180.64x = 270.64 × 95.20
  4. Step 4: Simplify right side
    180.64x = 25,764.93
  5. Step 5: Solve for x
    x = 25,764.93/180.64
  6. Step 6: Final answer
    x = 142.63

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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.