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Finding the Fourth Proportional to 178.36, 246.16 and 143.44

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Solution

The fourth proportional to 178.36, 246.16 and 143.44 is: 197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.36 : 246.16 = 143.44 : x
  2. Step 2: Convert to fraction form
    178.36/246.16 = 143.44/x
  3. Step 3: Cross multiply
    178.36x = 246.16 × 143.44
  4. Step 4: Simplify right side
    178.36x = 35,309.19
  5. Step 5: Solve for x
    x = 35,309.19/178.36
  6. Step 6: Final answer
    x = 197.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.