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Finding the Fourth Proportional to 180.09, 247.02 and 178.55

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Solution

The fourth proportional to 180.09, 247.02 and 178.55 is: 244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.09 : 247.02 = 178.55 : x
  2. Step 2: Convert to fraction form
    180.09/247.02 = 178.55/x
  3. Step 3: Cross multiply
    180.09x = 247.02 × 178.55
  4. Step 4: Simplify right side
    180.09x = 44,104.44
  5. Step 5: Solve for x
    x = 44,104.44/180.09
  6. Step 6: Final answer
    x = 244.90

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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.