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Finding the Fourth Proportional to 180.46, 247.50 and 178.33

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Solution

The fourth proportional to 180.46, 247.50 and 178.33 is: 244.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.46 : 247.50 = 178.33 : x
  2. Step 2: Convert to fraction form
    180.46/247.50 = 178.33/x
  3. Step 3: Cross multiply
    180.46x = 247.50 × 178.33
  4. Step 4: Simplify right side
    180.46x = 44,135.44
  5. Step 5: Solve for x
    x = 44,135.44/180.46
  6. Step 6: Final answer
    x = 244.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.