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Finding the Fourth Proportional to 158.70, 238.23 and 119.82

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Solution

The fourth proportional to 158.70, 238.23 and 119.82 is: 179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.70 : 238.23 = 119.82 : x
  2. Step 2: Convert to fraction form
    158.70/238.23 = 119.82/x
  3. Step 3: Cross multiply
    158.70x = 238.23 × 119.82
  4. Step 4: Simplify right side
    158.70x = 28,544.72
  5. Step 5: Solve for x
    x = 28,544.72/158.70
  6. Step 6: Final answer
    x = 179.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.