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Finding the Fourth Proportional to 180.36, 247.41 and 178.38

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Solution

The fourth proportional to 180.36, 247.41 and 178.38 is: 244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 247.41 = 178.38 : x
  2. Step 2: Convert to fraction form
    180.36/247.41 = 178.38/x
  3. Step 3: Cross multiply
    180.36x = 247.41 × 178.38
  4. Step 4: Simplify right side
    180.36x = 44,133.00
  5. Step 5: Solve for x
    x = 44,133.00/180.36
  6. Step 6: Final answer
    x = 244.69

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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.