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Finding the Fourth Proportional to 178.13, 245.94 and 122.85

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Solution

The fourth proportional to 178.13, 245.94 and 122.85 is: 169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.13 : 245.94 = 122.85 : x
  2. Step 2: Convert to fraction form
    178.13/245.94 = 122.85/x
  3. Step 3: Cross multiply
    178.13x = 245.94 × 122.85
  4. Step 4: Simplify right side
    178.13x = 30,213.27
  5. Step 5: Solve for x
    x = 30,213.27/178.13
  6. Step 6: Final answer
    x = 169.61

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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.