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Finding the Fourth Proportional to 238.24, 357.09 and 180.27

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Solution

The fourth proportional to 238.24, 357.09 and 180.27 is: 270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.24 : 357.09 = 180.27 : x
  2. Step 2: Convert to fraction form
    238.24/357.09 = 180.27/x
  3. Step 3: Cross multiply
    238.24x = 357.09 × 180.27
  4. Step 4: Simplify right side
    238.24x = 64,372.61
  5. Step 5: Solve for x
    x = 64,372.61/238.24
  6. Step 6: Final answer
    x = 270.20

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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.