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Finding the Fourth Proportional to 158.20, 217.83 and 118.92

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Solution

The fourth proportional to 158.20, 217.83 and 118.92 is: 163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.20 : 217.83 = 118.92 : x
  2. Step 2: Convert to fraction form
    158.20/217.83 = 118.92/x
  3. Step 3: Cross multiply
    158.20x = 217.83 × 118.92
  4. Step 4: Simplify right side
    158.20x = 25,903.25
  5. Step 5: Solve for x
    x = 25,903.25/158.20
  6. Step 6: Final answer
    x = 163.74

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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.