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Finding the Fourth Proportional to 178.38, 245.92 and 119.37

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Solution

The fourth proportional to 178.38, 245.92 and 119.37 is: 164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.38 : 245.92 = 119.37 : x
  2. Step 2: Convert to fraction form
    178.38/245.92 = 119.37/x
  3. Step 3: Cross multiply
    178.38x = 245.92 × 119.37
  4. Step 4: Simplify right side
    178.38x = 29,355.47
  5. Step 5: Solve for x
    x = 29,355.47/178.38
  6. Step 6: Final answer
    x = 164.57

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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.