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Finding the Fourth Proportional to 238.20, 356.63 and 180.24

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Solution

The fourth proportional to 238.20, 356.63 and 180.24 is: 269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.20 : 356.63 = 180.24 : x
  2. Step 2: Convert to fraction form
    238.20/356.63 = 180.24/x
  3. Step 3: Cross multiply
    238.20x = 356.63 × 180.24
  4. Step 4: Simplify right side
    238.20x = 64,278.09
  5. Step 5: Solve for x
    x = 64,278.09/238.20
  6. Step 6: Final answer
    x = 269.85

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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.