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Finding the Fourth Proportional to 180.31, 270.41 and 50.28

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Solution

The fourth proportional to 180.31, 270.41 and 50.28 is: 75.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.31 : 270.41 = 50.28 : x
  2. Step 2: Convert to fraction form
    180.31/270.41 = 50.28/x
  3. Step 3: Cross multiply
    180.31x = 270.41 × 50.28
  4. Step 4: Simplify right side
    180.31x = 13,594.61
  5. Step 5: Solve for x
    x = 13,594.61/180.31
  6. Step 6: Final answer
    x = 75.40

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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.