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Finding the Fourth Proportional to 225.32, 338.18 and 180.18

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Solution

The fourth proportional to 225.32, 338.18 and 180.18 is: 270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.32 : 338.18 = 180.18 : x
  2. Step 2: Convert to fraction form
    225.32/338.18 = 180.18/x
  3. Step 3: Cross multiply
    225.32x = 338.18 × 180.18
  4. Step 4: Simplify right side
    225.32x = 60,932.37
  5. Step 5: Solve for x
    x = 60,932.37/225.32
  6. Step 6: Final answer
    x = 270.43

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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.